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Finding the Fourth Proportional to 298,445.16, 447,386.33 and 148,543.74

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Solution

The fourth proportional to 298,445.16, 447,386.33 and 148,543.74 is: 222,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,445.16 : 447,386.33 = 148,543.74 : x
  2. Step 2: Convert to fraction form
    298,445.16/447,386.33 = 148,543.74/x
  3. Step 3: Cross multiply
    298,445.16x = 447,386.33 × 148,543.74
  4. Step 4: Simplify right side
    298,445.16x = 66,456,439,054.43
  5. Step 5: Solve for x
    x = 66,456,439,054.43/298,445.16
  6. Step 6: Final answer
    x = 222,675.55

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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.