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Finding the Fourth Proportional to 407,024.30, 610,390.64 and 207,278.30

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Solution

The fourth proportional to 407,024.30, 610,390.64 and 207,278.30 is: 310,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,024.30 : 610,390.64 = 207,278.30 : x
  2. Step 2: Convert to fraction form
    407,024.30/610,390.64 = 207,278.30/x
  3. Step 3: Cross multiply
    407,024.30x = 610,390.64 × 207,278.30
  4. Step 4: Simplify right side
    407,024.30x = 126,520,734,195.11
  5. Step 5: Solve for x
    x = 126,520,734,195.11/407,024.30
  6. Step 6: Final answer
    x = 310,843.20

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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.