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Finding the Fourth Proportional to 416,501.28, 574,342.16 and 356,271.28

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Solution

The fourth proportional to 416,501.28, 574,342.16 and 356,271.28 is: 491,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,501.28 : 574,342.16 = 356,271.28 : x
  2. Step 2: Convert to fraction form
    416,501.28/574,342.16 = 356,271.28/x
  3. Step 3: Cross multiply
    416,501.28x = 574,342.16 × 356,271.28
  4. Step 4: Simplify right side
    416,501.28x = 204,621,616,501.17
  5. Step 5: Solve for x
    x = 204,621,616,501.17/416,501.28
  6. Step 6: Final answer
    x = 491,286.89

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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.