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Finding the Fourth Proportional to 284,184.71, 392,174.93 and 156,860.34

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Solution

The fourth proportional to 284,184.71, 392,174.93 and 156,860.34 is: 216,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,184.71 : 392,174.93 = 156,860.34 : x
  2. Step 2: Convert to fraction form
    284,184.71/392,174.93 = 156,860.34/x
  3. Step 3: Cross multiply
    284,184.71x = 392,174.93 × 156,860.34
  4. Step 4: Simplify right side
    284,184.71x = 61,516,691,780.77
  5. Step 5: Solve for x
    x = 61,516,691,780.77/284,184.71
  6. Step 6: Final answer
    x = 216,467.28

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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.