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Finding the Fourth Proportional to 462,117.60, 693,176.40 and 309,902.40

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Solution

The fourth proportional to 462,117.60, 693,176.40 and 309,902.40 is: 464,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,117.60 : 693,176.40 = 309,902.40 : x
  2. Step 2: Convert to fraction form
    462,117.60/693,176.40 = 309,902.40/x
  3. Step 3: Cross multiply
    462,117.60x = 693,176.40 × 309,902.40
  4. Step 4: Simplify right side
    462,117.60x = 214,817,029,983.36
  5. Step 5: Solve for x
    x = 214,817,029,983.36/462,117.60
  6. Step 6: Final answer
    x = 464,853.60

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.