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Finding the Fourth Proportional to 514,832.92, 709,681.87 and 361,440.79

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Solution

The fourth proportional to 514,832.92, 709,681.87 and 361,440.79 is: 498,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,832.92 : 709,681.87 = 361,440.79 : x
  2. Step 2: Convert to fraction form
    514,832.92/709,681.87 = 361,440.79/x
  3. Step 3: Cross multiply
    514,832.92x = 709,681.87 × 361,440.79
  4. Step 4: Simplify right side
    514,832.92x = 256,507,975,741.48
  5. Step 5: Solve for x
    x = 256,507,975,741.48/514,832.92
  6. Step 6: Final answer
    x = 498,235.38

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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.