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Finding the Fourth Proportional to 312,573.12, 431,349.48 and 169,332.72

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Solution

The fourth proportional to 312,573.12, 431,349.48 and 169,332.72 is: 233,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,573.12 : 431,349.48 = 169,332.72 : x
  2. Step 2: Convert to fraction form
    312,573.12/431,349.48 = 169,332.72/x
  3. Step 3: Cross multiply
    312,573.12x = 431,349.48 × 169,332.72
  4. Step 4: Simplify right side
    312,573.12x = 73,041,580,718.99
  5. Step 5: Solve for x
    x = 73,041,580,718.99/312,573.12
  6. Step 6: Final answer
    x = 233,678.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.