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Finding the Fourth Proportional to 506,051.52, 698,939.52 and 335,990.40

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Solution

The fourth proportional to 506,051.52, 698,939.52 and 335,990.40 is: 464,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,051.52 : 698,939.52 = 335,990.40 : x
  2. Step 2: Convert to fraction form
    506,051.52/698,939.52 = 335,990.40/x
  3. Step 3: Cross multiply
    506,051.52x = 698,939.52 × 335,990.40
  4. Step 4: Simplify right side
    506,051.52x = 234,836,968,900.61
  5. Step 5: Solve for x
    x = 234,836,968,900.61/506,051.52
  6. Step 6: Final answer
    x = 464,057.43

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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.