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Finding the Fourth Proportional to 749,838.30, 1,034,763.03 and 410,299.74

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Solution

The fourth proportional to 749,838.30, 1,034,763.03 and 410,299.74 is: 566,206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,838.30 : 1,034,763.03 = 410,299.74 : x
  2. Step 2: Convert to fraction form
    749,838.30/1,034,763.03 = 410,299.74/x
  3. Step 3: Cross multiply
    749,838.30x = 1,034,763.03 × 410,299.74
  4. Step 4: Simplify right side
    749,838.30x = 424,563,002,170.61
  5. Step 5: Solve for x
    x = 424,563,002,170.61/749,838.30
  6. Step 6: Final answer
    x = 566,206.08

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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.