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Finding the Fourth Proportional to 736,697.70, 1,016,632.62 and 414,407.70

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Solution

The fourth proportional to 736,697.70, 1,016,632.62 and 414,407.70 is: 571,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,697.70 : 1,016,632.62 = 414,407.70 : x
  2. Step 2: Convert to fraction form
    736,697.70/1,016,632.62 = 414,407.70/x
  3. Step 3: Cross multiply
    736,697.70x = 1,016,632.62 × 414,407.70
  4. Step 4: Simplify right side
    736,697.70x = 421,300,385,799.17
  5. Step 5: Solve for x
    x = 421,300,385,799.17/736,697.70
  6. Step 6: Final answer
    x = 571,876.88

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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.