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Finding the Fourth Proportional to 524,057.95, 723,160.19 and 294,578.74

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Solution

The fourth proportional to 524,057.95, 723,160.19 and 294,578.74 is: 406,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,057.95 : 723,160.19 = 294,578.74 : x
  2. Step 2: Convert to fraction form
    524,057.95/723,160.19 = 294,578.74/x
  3. Step 3: Cross multiply
    524,057.95x = 723,160.19 × 294,578.74
  4. Step 4: Simplify right side
    524,057.95x = 213,027,612,499.67
  5. Step 5: Solve for x
    x = 213,027,612,499.67/524,057.95
  6. Step 6: Final answer
    x = 406,496.29

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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.