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Finding the Fourth Proportional to 605,006.64, 907,298.42 and 178,429.32

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Solution

The fourth proportional to 605,006.64, 907,298.42 and 178,429.32 is: 267,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,006.64 : 907,298.42 = 178,429.32 : x
  2. Step 2: Convert to fraction form
    605,006.64/907,298.42 = 178,429.32/x
  3. Step 3: Cross multiply
    605,006.64x = 907,298.42 × 178,429.32
  4. Step 4: Simplify right side
    605,006.64x = 161,888,639,225.53
  5. Step 5: Solve for x
    x = 161,888,639,225.53/605,006.64
  6. Step 6: Final answer
    x = 267,581.59

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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.