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Finding the Fourth Proportional to 284,433.93, 392,498.87 and 157,099.50

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Solution

The fourth proportional to 284,433.93, 392,498.87 and 157,099.50 is: 216,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,433.93 : 392,498.87 = 157,099.50 : x
  2. Step 2: Convert to fraction form
    284,433.93/392,498.87 = 157,099.50/x
  3. Step 3: Cross multiply
    284,433.93x = 392,498.87 × 157,099.50
  4. Step 4: Simplify right side
    284,433.93x = 61,661,375,442.07
  5. Step 5: Solve for x
    x = 61,661,375,442.07/284,433.93
  6. Step 6: Final answer
    x = 216,786.29

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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.