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Finding the Fourth Proportional to 294,013.76, 440,633.13 and 116,423.90

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Solution

The fourth proportional to 294,013.76, 440,633.13 and 116,423.90 is: 174,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,013.76 : 440,633.13 = 116,423.90 : x
  2. Step 2: Convert to fraction form
    294,013.76/440,633.13 = 116,423.90/x
  3. Step 3: Cross multiply
    294,013.76x = 440,633.13 × 116,423.90
  4. Step 4: Simplify right side
    294,013.76x = 51,300,225,260.64
  5. Step 5: Solve for x
    x = 51,300,225,260.64/294,013.76
  6. Step 6: Final answer
    x = 174,482.39

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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.