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Finding the Fourth Proportional to 471,527.13, 707,290.92 and 155,984.04

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Solution

The fourth proportional to 471,527.13, 707,290.92 and 155,984.04 is: 233,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,527.13 : 707,290.92 = 155,984.04 : x
  2. Step 2: Convert to fraction form
    471,527.13/707,290.92 = 155,984.04/x
  3. Step 3: Cross multiply
    471,527.13x = 707,290.92 × 155,984.04
  4. Step 4: Simplify right side
    471,527.13x = 110,326,095,156.92
  5. Step 5: Solve for x
    x = 110,326,095,156.92/471,527.13
  6. Step 6: Final answer
    x = 233,976.13

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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.