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Finding the Fourth Proportional to 384,115.30, 575,136.15 and 384,115.30

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Solution

The fourth proportional to 384,115.30, 575,136.15 and 384,115.30 is: 575,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,115.30 : 575,136.15 = 384,115.30 : x
  2. Step 2: Convert to fraction form
    384,115.30/575,136.15 = 384,115.30/x
  3. Step 3: Cross multiply
    384,115.30x = 575,136.15 × 384,115.30
  4. Step 4: Simplify right side
    384,115.30x = 220,918,594,798.10
  5. Step 5: Solve for x
    x = 220,918,594,798.10/384,115.30
  6. Step 6: Final answer
    x = 575,136.15

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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.