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Finding the Fourth Proportional to 411,931.90, 577,534.10 and 411,931.90

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Solution

The fourth proportional to 411,931.90, 577,534.10 and 411,931.90 is: 577,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,931.90 : 577,534.10 = 411,931.90 : x
  2. Step 2: Convert to fraction form
    411,931.90/577,534.10 = 411,931.90/x
  3. Step 3: Cross multiply
    411,931.90x = 577,534.10 × 411,931.90
  4. Step 4: Simplify right side
    411,931.90x = 237,904,719,127.79
  5. Step 5: Solve for x
    x = 237,904,719,127.79/411,931.90
  6. Step 6: Final answer
    x = 577,534.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.