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Finding the Fourth Proportional to 473,221.58, 652,945.98 and 301,077.38

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Solution

The fourth proportional to 473,221.58, 652,945.98 and 301,077.38 is: 415,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,221.58 : 652,945.98 = 301,077.38 : x
  2. Step 2: Convert to fraction form
    473,221.58/652,945.98 = 301,077.38/x
  3. Step 3: Cross multiply
    473,221.58x = 652,945.98 × 301,077.38
  4. Step 4: Simplify right side
    473,221.58x = 196,587,264,939.93
  5. Step 5: Solve for x
    x = 196,587,264,939.93/473,221.58
  6. Step 6: Final answer
    x = 415,423.29

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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.