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Finding the Fourth Proportional to 473,930.33, 710,895.50 and 158,387.24

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Solution

The fourth proportional to 473,930.33, 710,895.50 and 158,387.24 is: 237,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,930.33 : 710,895.50 = 158,387.24 : x
  2. Step 2: Convert to fraction form
    473,930.33/710,895.50 = 158,387.24/x
  3. Step 3: Cross multiply
    473,930.33x = 710,895.50 × 158,387.24
  4. Step 4: Simplify right side
    473,930.33x = 112,596,776,173.42
  5. Step 5: Solve for x
    x = 112,596,776,173.42/473,930.33
  6. Step 6: Final answer
    x = 237,580.86

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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.