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Finding the Fourth Proportional to 358,843.20, 538,264.80 and 264,364.80

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Solution

The fourth proportional to 358,843.20, 538,264.80 and 264,364.80 is: 396,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,843.20 : 538,264.80 = 264,364.80 : x
  2. Step 2: Convert to fraction form
    358,843.20/538,264.80 = 264,364.80/x
  3. Step 3: Cross multiply
    358,843.20x = 538,264.80 × 264,364.80
  4. Step 4: Simplify right side
    358,843.20x = 142,298,266,199.04
  5. Step 5: Solve for x
    x = 142,298,266,199.04/358,843.20
  6. Step 6: Final answer
    x = 396,547.20

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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.