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Finding the Fourth Proportional to 407,959.32, 612,060.66 and 194,886.84

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Solution

The fourth proportional to 407,959.32, 612,060.66 and 194,886.84 is: 292,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,959.32 : 612,060.66 = 194,886.84 : x
  2. Step 2: Convert to fraction form
    407,959.32/612,060.66 = 194,886.84/x
  3. Step 3: Cross multiply
    407,959.32x = 612,060.66 × 194,886.84
  4. Step 4: Simplify right side
    407,959.32x = 119,282,567,915.71
  5. Step 5: Solve for x
    x = 119,282,567,915.71/407,959.32
  6. Step 6: Final answer
    x = 292,388.39

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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.