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Finding the Fourth Proportional to 473,884.92, 710,864.10 and 158,342.94

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Solution

The fourth proportional to 473,884.92, 710,864.10 and 158,342.94 is: 237,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,884.92 : 710,864.10 = 158,342.94 : x
  2. Step 2: Convert to fraction form
    473,884.92/710,864.10 = 158,342.94/x
  3. Step 3: Cross multiply
    473,884.92x = 710,864.10 × 158,342.94
  4. Step 4: Simplify right side
    473,884.92x = 112,560,311,534.45
  5. Step 5: Solve for x
    x = 112,560,311,534.45/473,884.92
  6. Step 6: Final answer
    x = 237,526.68

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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.