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Finding the Fourth Proportional to 473,591.26, 710,465.37 and 158,144.86

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Solution

The fourth proportional to 473,591.26, 710,465.37 and 158,144.86 is: 237,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,591.26 : 710,465.37 = 158,144.86 : x
  2. Step 2: Convert to fraction form
    473,591.26/710,465.37 = 158,144.86/x
  3. Step 3: Cross multiply
    473,591.26x = 710,465.37 × 158,144.86
  4. Step 4: Simplify right side
    473,591.26x = 112,356,446,473.50
  5. Step 5: Solve for x
    x = 112,356,446,473.50/473,591.26
  6. Step 6: Final answer
    x = 237,243.50

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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.