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Finding the Fourth Proportional to 500,694, 748,292.10 and 366,041.54

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Solution

The fourth proportional to 500,694, 748,292.10 and 366,041.54 is: 547,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,694 : 748,292.10 = 366,041.54 : x
  2. Step 2: Convert to fraction form
    500,694/748,292.10 = 366,041.54/x
  3. Step 3: Cross multiply
    500,694x = 748,292.10 × 366,041.54
  4. Step 4: Simplify right side
    500,694x = 273,905,992,653.83
  5. Step 5: Solve for x
    x = 273,905,992,653.83/500,694
  6. Step 6: Final answer
    x = 547,052.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.