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Finding the Fourth Proportional to 295,647.20, 408,007.92 and 180,889.92

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Solution

The fourth proportional to 295,647.20, 408,007.92 and 180,889.92 is: 249,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,647.20 : 408,007.92 = 180,889.92 : x
  2. Step 2: Convert to fraction form
    295,647.20/408,007.92 = 180,889.92/x
  3. Step 3: Cross multiply
    295,647.20x = 408,007.92 × 180,889.92
  4. Step 4: Simplify right side
    295,647.20x = 73,804,520,008.17
  5. Step 5: Solve for x
    x = 73,804,520,008.17/295,647.20
  6. Step 6: Final answer
    x = 249,637.14

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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.