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Finding the Fourth Proportional to 407,801.70, 611,702.55 and 266,084.10

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Solution

The fourth proportional to 407,801.70, 611,702.55 and 266,084.10 is: 399,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,801.70 : 611,702.55 = 266,084.10 : x
  2. Step 2: Convert to fraction form
    407,801.70/611,702.55 = 266,084.10/x
  3. Step 3: Cross multiply
    407,801.70x = 611,702.55 × 266,084.10
  4. Step 4: Simplify right side
    407,801.70x = 162,764,322,484.46
  5. Step 5: Solve for x
    x = 162,764,322,484.46/407,801.70
  6. Step 6: Final answer
    x = 399,126.15

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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.