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Finding the Fourth Proportional to 537,689.36, 742,029 and 295,989.68

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Solution

The fourth proportional to 537,689.36, 742,029 and 295,989.68 is: 408,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,689.36 : 742,029 = 295,989.68 : x
  2. Step 2: Convert to fraction form
    537,689.36/742,029 = 295,989.68/x
  3. Step 3: Cross multiply
    537,689.36x = 742,029 × 295,989.68
  4. Step 4: Simplify right side
    537,689.36x = 219,632,926,260.72
  5. Step 5: Solve for x
    x = 219,632,926,260.72/537,689.36
  6. Step 6: Final answer
    x = 408,475.49

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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.