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Finding the Fourth Proportional to 407,023.30, 610,389.14 and 207,277.30

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Solution

The fourth proportional to 407,023.30, 610,389.14 and 207,277.30 is: 310,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,023.30 : 610,389.14 = 207,277.30 : x
  2. Step 2: Convert to fraction form
    407,023.30/610,389.14 = 207,277.30/x
  3. Step 3: Cross multiply
    407,023.30x = 610,389.14 × 207,277.30
  4. Step 4: Simplify right side
    407,023.30x = 126,519,812,888.52
  5. Step 5: Solve for x
    x = 126,519,812,888.52/407,023.30
  6. Step 6: Final answer
    x = 310,841.70

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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.