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Finding the Fourth Proportional to 975,469.12, 1,463,343.88 and 301,602.96

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Solution

The fourth proportional to 975,469.12, 1,463,343.88 and 301,602.96 is: 452,447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,469.12 : 1,463,343.88 = 301,602.96 : x
  2. Step 2: Convert to fraction form
    975,469.12/1,463,343.88 = 301,602.96/x
  3. Step 3: Cross multiply
    975,469.12x = 1,463,343.88 × 301,602.96
  4. Step 4: Simplify right side
    975,469.12x = 441,348,845,705.89
  5. Step 5: Solve for x
    x = 441,348,845,705.89/975,469.12
  6. Step 6: Final answer
    x = 452,447.79

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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.