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Finding the Fourth Proportional to 736,687, 1,016,555.43 and 414,390.16

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Solution

The fourth proportional to 736,687, 1,016,555.43 and 414,390.16 is: 571,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,687 : 1,016,555.43 = 414,390.16 : x
  2. Step 2: Convert to fraction form
    736,687/1,016,555.43 = 414,390.16/x
  3. Step 3: Cross multiply
    736,687x = 1,016,555.43 × 414,390.16
  4. Step 4: Simplify right side
    736,687x = 421,250,567,286.57
  5. Step 5: Solve for x
    x = 421,250,567,286.57/736,687
  6. Step 6: Final answer
    x = 571,817.57

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Why These Related Problems?

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