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Finding the Fourth Proportional to 475,488.30, 656,241.06 and 294,258.60

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Solution

The fourth proportional to 475,488.30, 656,241.06 and 294,258.60 is: 406,118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,488.30 : 656,241.06 = 294,258.60 : x
  2. Step 2: Convert to fraction form
    475,488.30/656,241.06 = 294,258.60/x
  3. Step 3: Cross multiply
    475,488.30x = 656,241.06 × 294,258.60
  4. Step 4: Simplify right side
    475,488.30x = 193,104,575,578.12
  5. Step 5: Solve for x
    x = 193,104,575,578.12/475,488.30
  6. Step 6: Final answer
    x = 406,118.46

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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.