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Finding the Fourth Proportional to 497,517.48, 686,672.10 and 346,527

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Solution

The fourth proportional to 497,517.48, 686,672.10 and 346,527 is: 478,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,517.48 : 686,672.10 = 346,527 : x
  2. Step 2: Convert to fraction form
    497,517.48/686,672.10 = 346,527/x
  3. Step 3: Cross multiply
    497,517.48x = 686,672.10 × 346,527
  4. Step 4: Simplify right side
    497,517.48x = 237,950,422,796.70
  5. Step 5: Solve for x
    x = 237,950,422,796.70/497,517.48
  6. Step 6: Final answer
    x = 478,275.50

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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.