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Finding the Fourth Proportional to 714,594.84, 1,070,499 and 398,098.68

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Solution

The fourth proportional to 714,594.84, 1,070,499 and 398,098.68 is: 596,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,594.84 : 1,070,499 = 398,098.68 : x
  2. Step 2: Convert to fraction form
    714,594.84/1,070,499 = 398,098.68/x
  3. Step 3: Cross multiply
    714,594.84x = 1,070,499 × 398,098.68
  4. Step 4: Simplify right side
    714,594.84x = 426,164,238,841.32
  5. Step 5: Solve for x
    x = 426,164,238,841.32/714,594.84
  6. Step 6: Final answer
    x = 596,371.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.