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Finding the Fourth Proportional to 465,694, 642,658.56 and 264,490

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Solution

The fourth proportional to 465,694, 642,658.56 and 264,490 is: 364,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,694 : 642,658.56 = 264,490 : x
  2. Step 2: Convert to fraction form
    465,694/642,658.56 = 264,490/x
  3. Step 3: Cross multiply
    465,694x = 642,658.56 × 264,490
  4. Step 4: Simplify right side
    465,694x = 169,976,762,534.40
  5. Step 5: Solve for x
    x = 169,976,762,534.40/465,694
  6. Step 6: Final answer
    x = 364,996.68

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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.