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Finding the Fourth Proportional to 252,001.60, 378,002.40 and 152,468.80

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Solution

The fourth proportional to 252,001.60, 378,002.40 and 152,468.80 is: 228,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,001.60 : 378,002.40 = 152,468.80 : x
  2. Step 2: Convert to fraction form
    252,001.60/378,002.40 = 152,468.80/x
  3. Step 3: Cross multiply
    252,001.60x = 378,002.40 × 152,468.80
  4. Step 4: Simplify right side
    252,001.60x = 57,633,572,325.12
  5. Step 5: Solve for x
    x = 57,633,572,325.12/252,001.60
  6. Step 6: Final answer
    x = 228,703.20

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1.5x scale

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.