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Finding the Fourth Proportional to 473,978.88, 711,006.12 and 158,437.44

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Solution

The fourth proportional to 473,978.88, 711,006.12 and 158,437.44 is: 237,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,978.88 : 711,006.12 = 158,437.44 : x
  2. Step 2: Convert to fraction form
    473,978.88/711,006.12 = 158,437.44/x
  3. Step 3: Cross multiply
    473,978.88x = 711,006.12 × 158,437.44
  4. Step 4: Simplify right side
    473,978.88x = 112,649,989,477.13
  5. Step 5: Solve for x
    x = 112,649,989,477.13/473,978.88
  6. Step 6: Final answer
    x = 237,668.80

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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.