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Finding the Fourth Proportional to 714,564.30, 986,061.63 and 424,187.94

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Solution

The fourth proportional to 714,564.30, 986,061.63 and 424,187.94 is: 585,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,564.30 : 986,061.63 = 424,187.94 : x
  2. Step 2: Convert to fraction form
    714,564.30/986,061.63 = 424,187.94/x
  3. Step 3: Cross multiply
    714,564.30x = 986,061.63 × 424,187.94
  4. Step 4: Simplify right side
    714,564.30x = 418,275,451,542.74
  5. Step 5: Solve for x
    x = 418,275,451,542.74/714,564.30
  6. Step 6: Final answer
    x = 585,357.33

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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.