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Finding the Fourth Proportional to 473,374.20, 710,064.90 and 157,830.60

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Solution

The fourth proportional to 473,374.20, 710,064.90 and 157,830.60 is: 236,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,374.20 : 710,064.90 = 157,830.60 : x
  2. Step 2: Convert to fraction form
    473,374.20/710,064.90 = 157,830.60/x
  3. Step 3: Cross multiply
    473,374.20x = 710,064.90 × 157,830.60
  4. Step 4: Simplify right side
    473,374.20x = 112,069,969,205.94
  5. Step 5: Solve for x
    x = 112,069,969,205.94/473,374.20
  6. Step 6: Final answer
    x = 236,747.10

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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.