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Finding the Fourth Proportional to 306,692.60, 460,053.30 and 96,337.40

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Solution

The fourth proportional to 306,692.60, 460,053.30 and 96,337.40 is: 144,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,692.60 : 460,053.30 = 96,337.40 : x
  2. Step 2: Convert to fraction form
    306,692.60/460,053.30 = 96,337.40/x
  3. Step 3: Cross multiply
    306,692.60x = 460,053.30 × 96,337.40
  4. Step 4: Simplify right side
    306,692.60x = 44,320,338,783.42
  5. Step 5: Solve for x
    x = 44,320,338,783.42/306,692.60
  6. Step 6: Final answer
    x = 144,510.62

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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.