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Finding the Fourth Proportional to 473,218.58, 652,941.84 and 301,074.38

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Solution

The fourth proportional to 473,218.58, 652,941.84 and 301,074.38 is: 415,419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,218.58 : 652,941.84 = 301,074.38 : x
  2. Step 2: Convert to fraction form
    473,218.58/652,941.84 = 301,074.38/x
  3. Step 3: Cross multiply
    473,218.58x = 652,941.84 × 301,074.38
  4. Step 4: Simplify right side
    473,218.58x = 196,584,059,654.06
  5. Step 5: Solve for x
    x = 196,584,059,654.06/473,218.58
  6. Step 6: Final answer
    x = 415,419.15

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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.