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Finding the Fourth Proportional to 471,484.80, 707,281.92 and 155,944.08

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Solution

The fourth proportional to 471,484.80, 707,281.92 and 155,944.08 is: 233,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,484.80 : 707,281.92 = 155,944.08 : x
  2. Step 2: Convert to fraction form
    471,484.80/707,281.92 = 155,944.08/x
  3. Step 3: Cross multiply
    471,484.80x = 707,281.92 × 155,944.08
  4. Step 4: Simplify right side
    471,484.80x = 110,296,428,315.03
  5. Step 5: Solve for x
    x = 110,296,428,315.03/471,484.80
  6. Step 6: Final answer
    x = 233,934.22

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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.