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Finding the Fourth Proportional to 653,168.62, 980,054.25 and 298,291.42

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Solution

The fourth proportional to 653,168.62, 980,054.25 and 298,291.42 is: 447,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,168.62 : 980,054.25 = 298,291.42 : x
  2. Step 2: Convert to fraction form
    653,168.62/980,054.25 = 298,291.42/x
  3. Step 3: Cross multiply
    653,168.62x = 980,054.25 × 298,291.42
  4. Step 4: Simplify right side
    653,168.62x = 292,341,773,909.54
  5. Step 5: Solve for x
    x = 292,341,773,909.54/653,168.62
  6. Step 6: Final answer
    x = 447,574.74

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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.