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Finding the Fourth Proportional to 272,024.10, 407,114.55 and 272,024.10

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Solution

The fourth proportional to 272,024.10, 407,114.55 and 272,024.10 is: 407,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,024.10 : 407,114.55 = 272,024.10 : x
  2. Step 2: Convert to fraction form
    272,024.10/407,114.55 = 272,024.10/x
  3. Step 3: Cross multiply
    272,024.10x = 407,114.55 × 272,024.10
  4. Step 4: Simplify right side
    272,024.10x = 110,744,969,060.66
  5. Step 5: Solve for x
    x = 110,744,969,060.66/272,024.10
  6. Step 6: Final answer
    x = 407,114.55

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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.