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Finding the Fourth Proportional to 538,064.67, 742,562.95 and 296,347.19

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Solution

The fourth proportional to 538,064.67, 742,562.95 and 296,347.19 is: 408,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,064.67 : 742,562.95 = 296,347.19 : x
  2. Step 2: Convert to fraction form
    538,064.67/742,562.95 = 296,347.19/x
  3. Step 3: Cross multiply
    538,064.67x = 742,562.95 × 296,347.19
  4. Step 4: Simplify right side
    538,064.67x = 220,056,442,144.64
  5. Step 5: Solve for x
    x = 220,056,442,144.64/538,064.67
  6. Step 6: Final answer
    x = 408,977.68

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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.