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Finding the Fourth Proportional to 471,527.85, 707,292 and 155,984.76

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Solution

The fourth proportional to 471,527.85, 707,292 and 155,984.76 is: 233,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,527.85 : 707,292 = 155,984.76 : x
  2. Step 2: Convert to fraction form
    471,527.85/707,292 = 155,984.76/x
  3. Step 3: Cross multiply
    471,527.85x = 707,292 × 155,984.76
  4. Step 4: Simplify right side
    471,527.85x = 110,326,769,333.46
  5. Step 5: Solve for x
    x = 110,326,769,333.46/471,527.85
  6. Step 6: Final answer
    x = 233,977.21

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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.