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Finding the Fourth Proportional to 471,670.59, 707,616.61 and 156,127.50

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Solution

The fourth proportional to 471,670.59, 707,616.61 and 156,127.50 is: 234,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,670.59 : 707,616.61 = 156,127.50 : x
  2. Step 2: Convert to fraction form
    471,670.59/707,616.61 = 156,127.50/x
  3. Step 3: Cross multiply
    471,670.59x = 707,616.61 × 156,127.50
  4. Step 4: Simplify right side
    471,670.59x = 110,478,411,887.46
  5. Step 5: Solve for x
    x = 110,478,411,887.46/471,670.59
  6. Step 6: Final answer
    x = 234,227.90

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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.