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Finding the Fourth Proportional to 319,434, 440,821 and 176,197.92

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Solution

The fourth proportional to 319,434, 440,821 and 176,197.92 is: 243,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,434 : 440,821 = 176,197.92 : x
  2. Step 2: Convert to fraction form
    319,434/440,821 = 176,197.92/x
  3. Step 3: Cross multiply
    319,434x = 440,821 × 176,197.92
  4. Step 4: Simplify right side
    319,434x = 77,671,743,292.32
  5. Step 5: Solve for x
    x = 77,671,743,292.32/319,434
  6. Step 6: Final answer
    x = 243,154.28

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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.