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Finding the Fourth Proportional to 284,052.67, 392,000.88 and 156,736.46

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Solution

The fourth proportional to 284,052.67, 392,000.88 and 156,736.46 is: 216,300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,052.67 : 392,000.88 = 156,736.46 : x
  2. Step 2: Convert to fraction form
    284,052.67/392,000.88 = 156,736.46/x
  3. Step 3: Cross multiply
    284,052.67x = 392,000.88 × 156,736.46
  4. Step 4: Simplify right side
    284,052.67x = 61,440,830,248.08
  5. Step 5: Solve for x
    x = 61,440,830,248.08/284,052.67
  6. Step 6: Final answer
    x = 216,300.84

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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.