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Finding the Fourth Proportional to 569,084.74, 853,675.40 and 232,148.23

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Solution

The fourth proportional to 569,084.74, 853,675.40 and 232,148.23 is: 348,242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,084.74 : 853,675.40 = 232,148.23 : x
  2. Step 2: Convert to fraction form
    569,084.74/853,675.40 = 232,148.23/x
  3. Step 3: Cross multiply
    569,084.74x = 853,675.40 × 232,148.23
  4. Step 4: Simplify right side
    569,084.74x = 198,179,231,550.72
  5. Step 5: Solve for x
    x = 198,179,231,550.72/569,084.74
  6. Step 6: Final answer
    x = 348,242.04

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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.