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Finding the Fourth Proportional to 614,515.88, 847,551.19 and 399,724.54

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Solution

The fourth proportional to 614,515.88, 847,551.19 and 399,724.54 is: 551,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,515.88 : 847,551.19 = 399,724.54 : x
  2. Step 2: Convert to fraction form
    614,515.88/847,551.19 = 399,724.54/x
  3. Step 3: Cross multiply
    614,515.88x = 847,551.19 × 399,724.54
  4. Step 4: Simplify right side
    614,515.88x = 338,787,009,549.20
  5. Step 5: Solve for x
    x = 338,787,009,549.20/614,515.88
  6. Step 6: Final answer
    x = 551,307.17

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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.