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Finding the Fourth Proportional to 378,501.36, 566,617.72 and 365,042.76

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Solution

The fourth proportional to 378,501.36, 566,617.72 and 365,042.76 is: 546,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,501.36 : 566,617.72 = 365,042.76 : x
  2. Step 2: Convert to fraction form
    378,501.36/566,617.72 = 365,042.76/x
  3. Step 3: Cross multiply
    378,501.36x = 566,617.72 × 365,042.76
  4. Step 4: Simplify right side
    378,501.36x = 206,839,696,373.71
  5. Step 5: Solve for x
    x = 206,839,696,373.71/378,501.36
  6. Step 6: Final answer
    x = 546,470.15

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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.