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Finding the Fourth Proportional to 306,893.40, 460,340.10 and 96,595.80

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Solution

The fourth proportional to 306,893.40, 460,340.10 and 96,595.80 is: 144,893.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,893.40 : 460,340.10 = 96,595.80 : x
  2. Step 2: Convert to fraction form
    306,893.40/460,340.10 = 96,595.80/x
  3. Step 3: Cross multiply
    306,893.40x = 460,340.10 × 96,595.80
  4. Step 4: Simplify right side
    306,893.40x = 44,466,920,231.58
  5. Step 5: Solve for x
    x = 44,466,920,231.58/306,893.40
  6. Step 6: Final answer
    x = 144,893.70

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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.