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Finding the Fourth Proportional to 473,256.68, 652,999.14 and 301,243.88

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Solution

The fourth proportional to 473,256.68, 652,999.14 and 301,243.88 is: 415,656.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,256.68 : 652,999.14 = 301,243.88 : x
  2. Step 2: Convert to fraction form
    473,256.68/652,999.14 = 301,243.88/x
  3. Step 3: Cross multiply
    473,256.68x = 652,999.14 × 301,243.88
  4. Step 4: Simplify right side
    473,256.68x = 196,711,994,570.26
  5. Step 5: Solve for x
    x = 196,711,994,570.26/473,256.68
  6. Step 6: Final answer
    x = 415,656.03

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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.