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Finding the Fourth Proportional to 412,859.10, 577,302.90 and 412,859.10

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Solution

The fourth proportional to 412,859.10, 577,302.90 and 412,859.10 is: 577,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,859.10 : 577,302.90 = 412,859.10 : x
  2. Step 2: Convert to fraction form
    412,859.10/577,302.90 = 412,859.10/x
  3. Step 3: Cross multiply
    412,859.10x = 577,302.90 × 412,859.10
  4. Step 4: Simplify right side
    412,859.10x = 238,344,755,721.39
  5. Step 5: Solve for x
    x = 238,344,755,721.39/412,859.10
  6. Step 6: Final answer
    x = 577,302.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.