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Finding the Fourth Proportional to 407,565.16, 610,552.38 and 266,897.32

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Solution

The fourth proportional to 407,565.16, 610,552.38 and 266,897.32 is: 399,825.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,565.16 : 610,552.38 = 266,897.32 : x
  2. Step 2: Convert to fraction form
    407,565.16/610,552.38 = 266,897.32/x
  3. Step 3: Cross multiply
    407,565.16x = 610,552.38 × 266,897.32
  4. Step 4: Simplify right side
    407,565.16x = 162,954,793,941.62
  5. Step 5: Solve for x
    x = 162,954,793,941.62/407,565.16
  6. Step 6: Final answer
    x = 399,825.13

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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.