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Finding the Fourth Proportional to 284,296.80, 392,335.70 and 156,980.44

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Solution

The fourth proportional to 284,296.80, 392,335.70 and 156,980.44 is: 216,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,296.80 : 392,335.70 = 156,980.44 : x
  2. Step 2: Convert to fraction form
    284,296.80/392,335.70 = 156,980.44/x
  3. Step 3: Cross multiply
    284,296.80x = 392,335.70 × 156,980.44
  4. Step 4: Simplify right side
    284,296.80x = 61,589,030,813.71
  5. Step 5: Solve for x
    x = 61,589,030,813.71/284,296.80
  6. Step 6: Final answer
    x = 216,636.38

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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.