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Finding the Fourth Proportional to 363,414.60, 544,465.80 and 296,492.40

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Solution

The fourth proportional to 363,414.60, 544,465.80 and 296,492.40 is: 444,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,414.60 : 544,465.80 = 296,492.40 : x
  2. Step 2: Convert to fraction form
    363,414.60/544,465.80 = 296,492.40/x
  3. Step 3: Cross multiply
    363,414.60x = 544,465.80 × 296,492.40
  4. Step 4: Simplify right side
    363,414.60x = 161,429,971,759.92
  5. Step 5: Solve for x
    x = 161,429,971,759.92/363,414.60
  6. Step 6: Final answer
    x = 444,203.32

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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.