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Finding the Fourth Proportional to 342,883.20, 514,324.80 and 106,298.40

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Solution

The fourth proportional to 342,883.20, 514,324.80 and 106,298.40 is: 159,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,883.20 : 514,324.80 = 106,298.40 : x
  2. Step 2: Convert to fraction form
    342,883.20/514,324.80 = 106,298.40/x
  3. Step 3: Cross multiply
    342,883.20x = 514,324.80 × 106,298.40
  4. Step 4: Simplify right side
    342,883.20x = 54,671,903,320.32
  5. Step 5: Solve for x
    x = 54,671,903,320.32/342,883.20
  6. Step 6: Final answer
    x = 159,447.60

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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.