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Finding the Fourth Proportional to 284,184.06, 392,174.04 and 156,859.70

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Solution

The fourth proportional to 284,184.06, 392,174.04 and 156,859.70 is: 216,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,184.06 : 392,174.04 = 156,859.70 : x
  2. Step 2: Convert to fraction form
    284,184.06/392,174.04 = 156,859.70/x
  3. Step 3: Cross multiply
    284,184.06x = 392,174.04 × 156,859.70
  4. Step 4: Simplify right side
    284,184.06x = 61,516,302,262.19
  5. Step 5: Solve for x
    x = 61,516,302,262.19/284,184.06
  6. Step 6: Final answer
    x = 216,466.41

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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.