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Finding the Fourth Proportional to 502,151.44, 692,800.41 and 284,330.33

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Solution

The fourth proportional to 502,151.44, 692,800.41 and 284,330.33 is: 392,280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,151.44 : 692,800.41 = 284,330.33 : x
  2. Step 2: Convert to fraction form
    502,151.44/692,800.41 = 284,330.33/x
  3. Step 3: Cross multiply
    502,151.44x = 692,800.41 × 284,330.33
  4. Step 4: Simplify right side
    502,151.44x = 196,984,169,199.44
  5. Step 5: Solve for x
    x = 196,984,169,199.44/502,151.44
  6. Step 6: Final answer
    x = 392,280.40

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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.