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Finding the Fourth Proportional to 537,712.80, 742,064.79 and 296,017.83

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Solution

The fourth proportional to 537,712.80, 742,064.79 and 296,017.83 is: 408,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,712.80 : 742,064.79 = 296,017.83 : x
  2. Step 2: Convert to fraction form
    537,712.80/742,064.79 = 296,017.83/x
  3. Step 3: Cross multiply
    537,712.80x = 742,064.79 × 296,017.83
  4. Step 4: Simplify right side
    537,712.80x = 219,664,408,855.21
  5. Step 5: Solve for x
    x = 219,664,408,855.21/537,712.80
  6. Step 6: Final answer
    x = 408,516.24

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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.