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Finding the Fourth Proportional to 471,353.52, 707,140.98 and 155,810.42

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Solution

The fourth proportional to 471,353.52, 707,140.98 and 155,810.42 is: 233,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,353.52 : 707,140.98 = 155,810.42 : x
  2. Step 2: Convert to fraction form
    471,353.52/707,140.98 = 155,810.42/x
  3. Step 3: Cross multiply
    471,353.52x = 707,140.98 × 155,810.42
  4. Step 4: Simplify right side
    471,353.52x = 110,179,929,557.31
  5. Step 5: Solve for x
    x = 110,179,929,557.31/471,353.52
  6. Step 6: Final answer
    x = 233,752.22

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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.