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Finding the Fourth Proportional to 410,969.80, 616,368.30 and 174,320.20

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Solution

The fourth proportional to 410,969.80, 616,368.30 and 174,320.20 is: 261,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,969.80 : 616,368.30 = 174,320.20 : x
  2. Step 2: Convert to fraction form
    410,969.80/616,368.30 = 174,320.20/x
  3. Step 3: Cross multiply
    410,969.80x = 616,368.30 × 174,320.20
  4. Step 4: Simplify right side
    410,969.80x = 107,445,445,329.66
  5. Step 5: Solve for x
    x = 107,445,445,329.66/410,969.80
  6. Step 6: Final answer
    x = 261,443.65

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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.