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Finding the Fourth Proportional to 288,077.90, 432,116.85 and 238,214.30

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Solution

The fourth proportional to 288,077.90, 432,116.85 and 238,214.30 is: 357,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,077.90 : 432,116.85 = 238,214.30 : x
  2. Step 2: Convert to fraction form
    288,077.90/432,116.85 = 238,214.30/x
  3. Step 3: Cross multiply
    288,077.90x = 432,116.85 × 238,214.30
  4. Step 4: Simplify right side
    288,077.90x = 102,936,412,940.96
  5. Step 5: Solve for x
    x = 102,936,412,940.96/288,077.90
  6. Step 6: Final answer
    x = 357,321.45

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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.