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Finding the Fourth Proportional to 506,727.13, 698,978.76 and 334,646.68

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Solution

The fourth proportional to 506,727.13, 698,978.76 and 334,646.68 is: 461,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,727.13 : 698,978.76 = 334,646.68 : x
  2. Step 2: Convert to fraction form
    506,727.13/698,978.76 = 334,646.68/x
  3. Step 3: Cross multiply
    506,727.13x = 698,978.76 × 334,646.68
  4. Step 4: Simplify right side
    506,727.13x = 233,910,921,424.52
  5. Step 5: Solve for x
    x = 233,910,921,424.52/506,727.13
  6. Step 6: Final answer
    x = 461,611.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.