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Finding the Fourth Proportional to 298,332.48, 447,089.67 and 157,810.44

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Solution

The fourth proportional to 298,332.48, 447,089.67 and 157,810.44 is: 236,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,332.48 : 447,089.67 = 157,810.44 : x
  2. Step 2: Convert to fraction form
    298,332.48/447,089.67 = 157,810.44/x
  3. Step 3: Cross multiply
    298,332.48x = 447,089.67 × 157,810.44
  4. Step 4: Simplify right side
    298,332.48x = 70,555,417,542.15
  5. Step 5: Solve for x
    x = 70,555,417,542.15/298,332.48
  6. Step 6: Final answer
    x = 236,499.28

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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.