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Finding the Fourth Proportional to 503,814.20, 755,705.10 and 166,870.40

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Solution

The fourth proportional to 503,814.20, 755,705.10 and 166,870.40 is: 250,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,814.20 : 755,705.10 = 166,870.40 : x
  2. Step 2: Convert to fraction form
    503,814.20/755,705.10 = 166,870.40/x
  3. Step 3: Cross multiply
    503,814.20x = 755,705.10 × 166,870.40
  4. Step 4: Simplify right side
    503,814.20x = 126,104,812,319.04
  5. Step 5: Solve for x
    x = 126,104,812,319.04/503,814.20
  6. Step 6: Final answer
    x = 250,300.23

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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.