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Finding the Fourth Proportional to 298,693.60, 448,030.80 and 99,023.20

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Solution

The fourth proportional to 298,693.60, 448,030.80 and 99,023.20 is: 148,531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,693.60 : 448,030.80 = 99,023.20 : x
  2. Step 2: Convert to fraction form
    298,693.60/448,030.80 = 99,023.20/x
  3. Step 3: Cross multiply
    298,693.60x = 448,030.80 × 99,023.20
  4. Step 4: Simplify right side
    298,693.60x = 44,365,443,514.56
  5. Step 5: Solve for x
    x = 44,365,443,514.56/298,693.60
  6. Step 6: Final answer
    x = 148,531.62

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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.