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Finding the Fourth Proportional to 296,407.04, 444,693.78 and 119,038.58

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Solution

The fourth proportional to 296,407.04, 444,693.78 and 119,038.58 is: 178,591.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,407.04 : 444,693.78 = 119,038.58 : x
  2. Step 2: Convert to fraction form
    296,407.04/444,693.78 = 119,038.58/x
  3. Step 3: Cross multiply
    296,407.04x = 444,693.78 × 119,038.58
  4. Step 4: Simplify right side
    296,407.04x = 52,935,716,106.03
  5. Step 5: Solve for x
    x = 52,935,716,106.03/296,407.04
  6. Step 6: Final answer
    x = 178,591.29

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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.