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Finding the Fourth Proportional to 402,886.60, 603,673.80 and 296,598.40

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Solution

The fourth proportional to 402,886.60, 603,673.80 and 296,598.40 is: 444,414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,886.60 : 603,673.80 = 296,598.40 : x
  2. Step 2: Convert to fraction form
    402,886.60/603,673.80 = 296,598.40/x
  3. Step 3: Cross multiply
    402,886.60x = 603,673.80 × 296,598.40
  4. Step 4: Simplify right side
    402,886.60x = 179,048,683,201.92
  5. Step 5: Solve for x
    x = 179,048,683,201.92/402,886.60
  6. Step 6: Final answer
    x = 444,414.59

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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.