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Finding the Fourth Proportional to 753,022, 1,039,177.65 and 413,497.54

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Solution

The fourth proportional to 753,022, 1,039,177.65 and 413,497.54 is: 570,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,022 : 1,039,177.65 = 413,497.54 : x
  2. Step 2: Convert to fraction form
    753,022/1,039,177.65 = 413,497.54/x
  3. Step 3: Cross multiply
    753,022x = 1,039,177.65 × 413,497.54
  4. Step 4: Simplify right side
    753,022x = 429,697,401,897.98
  5. Step 5: Solve for x
    x = 429,697,401,897.98/753,022
  6. Step 6: Final answer
    x = 570,630.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.