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Finding the Fourth Proportional to 535,281.69, 738,698.21 and 293,562.15

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Solution

The fourth proportional to 535,281.69, 738,698.21 and 293,562.15 is: 405,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,281.69 : 738,698.21 = 293,562.15 : x
  2. Step 2: Convert to fraction form
    535,281.69/738,698.21 = 293,562.15/x
  3. Step 3: Cross multiply
    535,281.69x = 738,698.21 × 293,562.15
  4. Step 4: Simplify right side
    535,281.69x = 216,853,832,843.63
  5. Step 5: Solve for x
    x = 216,853,832,843.63/535,281.69
  6. Step 6: Final answer
    x = 405,120.96

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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.