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Finding the Fourth Proportional to 653,033.20, 978,340.20 and 371,714.80

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Solution

The fourth proportional to 653,033.20, 978,340.20 and 371,714.80 is: 556,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,033.20 : 978,340.20 = 371,714.80 : x
  2. Step 2: Convert to fraction form
    653,033.20/978,340.20 = 371,714.80/x
  3. Step 3: Cross multiply
    653,033.20x = 978,340.20 × 371,714.80
  4. Step 4: Simplify right side
    653,033.20x = 363,663,531,774.96
  5. Step 5: Solve for x
    x = 363,663,531,774.96/653,033.20
  6. Step 6: Final answer
    x = 556,883.68

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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.