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Finding the Fourth Proportional to 462,002.10, 693,003.15 and 312,411.30

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Solution

The fourth proportional to 462,002.10, 693,003.15 and 312,411.30 is: 468,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,002.10 : 693,003.15 = 312,411.30 : x
  2. Step 2: Convert to fraction form
    462,002.10/693,003.15 = 312,411.30/x
  3. Step 3: Cross multiply
    462,002.10x = 693,003.15 × 312,411.30
  4. Step 4: Simplify right side
    462,002.10x = 216,502,014,995.60
  5. Step 5: Solve for x
    x = 216,502,014,995.60/462,002.10
  6. Step 6: Final answer
    x = 468,616.95

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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.