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Finding the Fourth Proportional to 354,734.10, 532,429.20 and 177,368.40

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Solution

The fourth proportional to 354,734.10, 532,429.20 and 177,368.40 is: 266,216.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,734.10 : 532,429.20 = 177,368.40 : x
  2. Step 2: Convert to fraction form
    354,734.10/532,429.20 = 177,368.40/x
  3. Step 3: Cross multiply
    354,734.10x = 532,429.20 × 177,368.40
  4. Step 4: Simplify right side
    354,734.10x = 94,436,115,317.28
  5. Step 5: Solve for x
    x = 94,436,115,317.28/354,734.10
  6. Step 6: Final answer
    x = 266,216.63

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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.