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Finding the Fourth Proportional to 284,008.80, 391,931.28 and 156,698.40

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Solution

The fourth proportional to 284,008.80, 391,931.28 and 156,698.40 is: 216,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,008.80 : 391,931.28 = 156,698.40 : x
  2. Step 2: Convert to fraction form
    284,008.80/391,931.28 = 156,698.40/x
  3. Step 3: Cross multiply
    284,008.80x = 391,931.28 × 156,698.40
  4. Step 4: Simplify right side
    284,008.80x = 61,415,004,485.95
  5. Step 5: Solve for x
    x = 61,415,004,485.95/284,008.80
  6. Step 6: Final answer
    x = 216,243.32

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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.