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Finding the Fourth Proportional to 284,191.32, 392,184.06 and 156,866.94

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Solution

The fourth proportional to 284,191.32, 392,184.06 and 156,866.94 is: 216,476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,191.32 : 392,184.06 = 156,866.94 : x
  2. Step 2: Convert to fraction form
    284,191.32/392,184.06 = 156,866.94/x
  3. Step 3: Cross multiply
    284,191.32x = 392,184.06 × 156,866.94
  4. Step 4: Simplify right side
    284,191.32x = 61,520,713,408.98
  5. Step 5: Solve for x
    x = 61,520,713,408.98/284,191.32
  6. Step 6: Final answer
    x = 216,476.40

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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.