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Finding the Fourth Proportional to 319,718.42, 441,211.44 and 176,478.50

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Solution

The fourth proportional to 319,718.42, 441,211.44 and 176,478.50 is: 243,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,718.42 : 441,211.44 = 176,478.50 : x
  2. Step 2: Convert to fraction form
    319,718.42/441,211.44 = 176,478.50/x
  3. Step 3: Cross multiply
    319,718.42x = 441,211.44 × 176,478.50
  4. Step 4: Simplify right side
    319,718.42x = 77,864,333,114.04
  5. Step 5: Solve for x
    x = 77,864,333,114.04/319,718.42
  6. Step 6: Final answer
    x = 243,540.34

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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.