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Finding the Fourth Proportional to 284,297.76, 392,326.20 and 156,970.08

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Solution

The fourth proportional to 284,297.76, 392,326.20 and 156,970.08 is: 216,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,297.76 : 392,326.20 = 156,970.08 : x
  2. Step 2: Convert to fraction form
    284,297.76/392,326.20 = 156,970.08/x
  3. Step 3: Cross multiply
    284,297.76x = 392,326.20 × 156,970.08
  4. Step 4: Simplify right side
    284,297.76x = 61,583,475,000.10
  5. Step 5: Solve for x
    x = 61,583,475,000.10/284,297.76
  6. Step 6: Final answer
    x = 216,616.11

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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.