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Finding the Fourth Proportional to 524,926.53, 724,209.15 and 343,741.78

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Solution

The fourth proportional to 524,926.53, 724,209.15 and 343,741.78 is: 474,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,926.53 : 724,209.15 = 343,741.78 : x
  2. Step 2: Convert to fraction form
    524,926.53/724,209.15 = 343,741.78/x
  3. Step 3: Cross multiply
    524,926.53x = 724,209.15 × 343,741.78
  4. Step 4: Simplify right side
    524,926.53x = 248,940,942,313.29
  5. Step 5: Solve for x
    x = 248,940,942,313.29/524,926.53
  6. Step 6: Final answer
    x = 474,239.59

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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.