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Finding the Fourth Proportional to 514,000.32, 709,394.68 and 296,167.32

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Solution

The fourth proportional to 514,000.32, 709,394.68 and 296,167.32 is: 408,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,000.32 : 709,394.68 = 296,167.32 : x
  2. Step 2: Convert to fraction form
    514,000.32/709,394.68 = 296,167.32/x
  3. Step 3: Cross multiply
    514,000.32x = 709,394.68 × 296,167.32
  4. Step 4: Simplify right side
    514,000.32x = 210,099,521,197.86
  5. Step 5: Solve for x
    x = 210,099,521,197.86/514,000.32
  6. Step 6: Final answer
    x = 408,753.68

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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.