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Finding the Fourth Proportional to 457,681.56, 686,353.86 and 158,085.24

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Solution

The fourth proportional to 457,681.56, 686,353.86 and 158,085.24 is: 237,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,681.56 : 686,353.86 = 158,085.24 : x
  2. Step 2: Convert to fraction form
    457,681.56/686,353.86 = 158,085.24/x
  3. Step 3: Cross multiply
    457,681.56x = 686,353.86 × 158,085.24
  4. Step 4: Simplify right side
    457,681.56x = 108,502,414,683.03
  5. Step 5: Solve for x
    x = 108,502,414,683.03/457,681.56
  6. Step 6: Final answer
    x = 237,069.67

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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.