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Finding the Fourth Proportional to 288,308.70, 432,463.05 and 146,591.10

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Solution

The fourth proportional to 288,308.70, 432,463.05 and 146,591.10 is: 219,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,308.70 : 432,463.05 = 146,591.10 : x
  2. Step 2: Convert to fraction form
    288,308.70/432,463.05 = 146,591.10/x
  3. Step 3: Cross multiply
    288,308.70x = 432,463.05 × 146,591.10
  4. Step 4: Simplify right side
    288,308.70x = 63,395,234,208.86
  5. Step 5: Solve for x
    x = 63,395,234,208.86/288,308.70
  6. Step 6: Final answer
    x = 219,886.65

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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.