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Finding the Fourth Proportional to 537,808.32, 742,178.16 and 296,115.12

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Solution

The fourth proportional to 537,808.32, 742,178.16 and 296,115.12 is: 408,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,808.32 : 742,178.16 = 296,115.12 : x
  2. Step 2: Convert to fraction form
    537,808.32/742,178.16 = 296,115.12/x
  3. Step 3: Cross multiply
    537,808.32x = 742,178.16 × 296,115.12
  4. Step 4: Simplify right side
    537,808.32x = 219,770,174,909.78
  5. Step 5: Solve for x
    x = 219,770,174,909.78/537,808.32
  6. Step 6: Final answer
    x = 408,640.34

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1.5x scale

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.