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Finding the Fourth Proportional to 497,999.68, 687,211.92 and 283,109.92

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Solution

The fourth proportional to 497,999.68, 687,211.92 and 283,109.92 is: 390,675.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,999.68 : 687,211.92 = 283,109.92 : x
  2. Step 2: Convert to fraction form
    497,999.68/687,211.92 = 283,109.92/x
  3. Step 3: Cross multiply
    497,999.68x = 687,211.92 × 283,109.92
  4. Step 4: Simplify right side
    497,999.68x = 194,556,511,694.25
  5. Step 5: Solve for x
    x = 194,556,511,694.25/497,999.68
  6. Step 6: Final answer
    x = 390,675.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.