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Finding the Fourth Proportional to 473,892.80, 710,875.91 and 158,350.82

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Solution

The fourth proportional to 473,892.80, 710,875.91 and 158,350.82 is: 237,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,892.80 : 710,875.91 = 158,350.82 : x
  2. Step 2: Convert to fraction form
    473,892.80/710,875.91 = 158,350.82/x
  3. Step 3: Cross multiply
    473,892.80x = 710,875.91 × 158,350.82
  4. Step 4: Simplify right side
    473,892.80x = 112,567,780,108.24
  5. Step 5: Solve for x
    x = 112,567,780,108.24/473,892.80
  6. Step 6: Final answer
    x = 237,538.49

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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.