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Finding the Fourth Proportional to 284,295.76, 392,323.44 and 156,968.08

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Solution

The fourth proportional to 284,295.76, 392,323.44 and 156,968.08 is: 216,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,295.76 : 392,323.44 = 156,968.08 : x
  2. Step 2: Convert to fraction form
    284,295.76/392,323.44 = 156,968.08/x
  3. Step 3: Cross multiply
    284,295.76x = 392,323.44 × 156,968.08
  4. Step 4: Simplify right side
    284,295.76x = 61,582,257,115.80
  5. Step 5: Solve for x
    x = 61,582,257,115.80/284,295.76
  6. Step 6: Final answer
    x = 216,613.35

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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.