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Finding the Fourth Proportional to 524,109.40, 785,645.70 and 257,651.80

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Solution

The fourth proportional to 524,109.40, 785,645.70 and 257,651.80 is: 386,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,109.40 : 785,645.70 = 257,651.80 : x
  2. Step 2: Convert to fraction form
    524,109.40/785,645.70 = 257,651.80/x
  3. Step 3: Cross multiply
    524,109.40x = 785,645.70 × 257,651.80
  4. Step 4: Simplify right side
    524,109.40x = 202,423,028,767.26
  5. Step 5: Solve for x
    x = 202,423,028,767.26/524,109.40
  6. Step 6: Final answer
    x = 386,222.85

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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.