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Finding the Fourth Proportional to 471,341.96, 707,123.69 and 155,798.88

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Solution

The fourth proportional to 471,341.96, 707,123.69 and 155,798.88 is: 233,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,341.96 : 707,123.69 = 155,798.88 : x
  2. Step 2: Convert to fraction form
    471,341.96/707,123.69 = 155,798.88/x
  3. Step 3: Cross multiply
    471,341.96x = 707,123.69 × 155,798.88
  4. Step 4: Simplify right side
    471,341.96x = 110,169,078,144.47
  5. Step 5: Solve for x
    x = 110,169,078,144.47/471,341.96
  6. Step 6: Final answer
    x = 233,734.93

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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.