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Finding the Fourth Proportional to 442,180.54, 610,020.01 and 288,952.74

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Solution

The fourth proportional to 442,180.54, 610,020.01 and 288,952.74 is: 398,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,180.54 : 610,020.01 = 288,952.74 : x
  2. Step 2: Convert to fraction form
    442,180.54/610,020.01 = 288,952.74/x
  3. Step 3: Cross multiply
    442,180.54x = 610,020.01 × 288,952.74
  4. Step 4: Simplify right side
    442,180.54x = 176,266,953,344.33
  5. Step 5: Solve for x
    x = 176,266,953,344.33/442,180.54
  6. Step 6: Final answer
    x = 398,631.19

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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.