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Finding the Fourth Proportional to 364,049.85, 502,391.16 and 202,915.14

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Solution

The fourth proportional to 364,049.85, 502,391.16 and 202,915.14 is: 280,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,049.85 : 502,391.16 = 202,915.14 : x
  2. Step 2: Convert to fraction form
    364,049.85/502,391.16 = 202,915.14/x
  3. Step 3: Cross multiply
    364,049.85x = 502,391.16 × 202,915.14
  4. Step 4: Simplify right side
    364,049.85x = 101,942,772,566.16
  5. Step 5: Solve for x
    x = 101,942,772,566.16/364,049.85
  6. Step 6: Final answer
    x = 280,024.21

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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.