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Finding the Fourth Proportional to 747,713, 1,031,848.26 and 408,184.76

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Solution

The fourth proportional to 747,713, 1,031,848.26 and 408,184.76 is: 563,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,713 : 1,031,848.26 = 408,184.76 : x
  2. Step 2: Convert to fraction form
    747,713/1,031,848.26 = 408,184.76/x
  3. Step 3: Cross multiply
    747,713x = 1,031,848.26 × 408,184.76
  4. Step 4: Simplify right side
    747,713x = 421,184,734,364.52
  5. Step 5: Solve for x
    x = 421,184,734,364.52/747,713
  6. Step 6: Final answer
    x = 563,297.33

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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.