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Finding the Fourth Proportional to 284,289.80, 392,326.04 and 156,973.44

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Solution

The fourth proportional to 284,289.80, 392,326.04 and 156,973.44 is: 216,626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,289.80 : 392,326.04 = 156,973.44 : x
  2. Step 2: Convert to fraction form
    284,289.80/392,326.04 = 156,973.44/x
  3. Step 3: Cross multiply
    284,289.80x = 392,326.04 × 156,973.44
  4. Step 4: Simplify right side
    284,289.80x = 61,584,768,100.38
  5. Step 5: Solve for x
    x = 61,584,768,100.38/284,289.80
  6. Step 6: Final answer
    x = 216,626.72

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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.