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Finding the Fourth Proportional to 497,367.40, 745,964.70 and 181,661.80

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Solution

The fourth proportional to 497,367.40, 745,964.70 and 181,661.80 is: 272,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,367.40 : 745,964.70 = 181,661.80 : x
  2. Step 2: Convert to fraction form
    497,367.40/745,964.70 = 181,661.80/x
  3. Step 3: Cross multiply
    497,367.40x = 745,964.70 × 181,661.80
  4. Step 4: Simplify right side
    497,367.40x = 135,513,290,138.46
  5. Step 5: Solve for x
    x = 135,513,290,138.46/497,367.40
  6. Step 6: Final answer
    x = 272,461.14

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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.