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Finding the Fourth Proportional to 284,374.68, 392,417.30 and 157,040.25

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Solution

The fourth proportional to 284,374.68, 392,417.30 and 157,040.25 is: 216,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,374.68 : 392,417.30 = 157,040.25 : x
  2. Step 2: Convert to fraction form
    284,374.68/392,417.30 = 157,040.25/x
  3. Step 3: Cross multiply
    284,374.68x = 392,417.30 × 157,040.25
  4. Step 4: Simplify right side
    284,374.68x = 61,625,310,111.12
  5. Step 5: Solve for x
    x = 61,625,310,111.12/284,374.68
  6. Step 6: Final answer
    x = 216,704.63

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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.