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Finding the Fourth Proportional to 524,003.90, 785,487.45 and 257,546.30

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Solution

The fourth proportional to 524,003.90, 785,487.45 and 257,546.30 is: 386,064.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,003.90 : 785,487.45 = 257,546.30 : x
  2. Step 2: Convert to fraction form
    524,003.90/785,487.45 = 257,546.30/x
  3. Step 3: Cross multiply
    524,003.90x = 785,487.45 × 257,546.30
  4. Step 4: Simplify right side
    524,003.90x = 202,299,386,443.94
  5. Step 5: Solve for x
    x = 202,299,386,443.94/524,003.90
  6. Step 6: Final answer
    x = 386,064.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.