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Finding the Fourth Proportional to 678,551.10, 935,609.41 and 506,169.82

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Solution

The fourth proportional to 678,551.10, 935,609.41 and 506,169.82 is: 697,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,551.10 : 935,609.41 = 506,169.82 : x
  2. Step 2: Convert to fraction form
    678,551.10/935,609.41 = 506,169.82/x
  3. Step 3: Cross multiply
    678,551.10x = 935,609.41 × 506,169.82
  4. Step 4: Simplify right side
    678,551.10x = 473,577,246,650.01
  5. Step 5: Solve for x
    x = 473,577,246,650.01/678,551.10
  6. Step 6: Final answer
    x = 697,924.22

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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.