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Finding the Fourth Proportional to 541,292.32, 811,403 and 256,482.56

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Solution

The fourth proportional to 541,292.32, 811,403 and 256,482.56 is: 384,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,292.32 : 811,403 = 256,482.56 : x
  2. Step 2: Convert to fraction form
    541,292.32/811,403 = 256,482.56/x
  3. Step 3: Cross multiply
    541,292.32x = 811,403 × 256,482.56
  4. Step 4: Simplify right side
    541,292.32x = 208,110,718,631.68
  5. Step 5: Solve for x
    x = 208,110,718,631.68/541,292.32
  6. Step 6: Final answer
    x = 384,470.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.