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Finding the Fourth Proportional to 703,973.38, 972,285.12 and 477,225.22

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Solution

The fourth proportional to 703,973.38, 972,285.12 and 477,225.22 is: 659,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,973.38 : 972,285.12 = 477,225.22 : x
  2. Step 2: Convert to fraction form
    703,973.38/972,285.12 = 477,225.22/x
  3. Step 3: Cross multiply
    703,973.38x = 972,285.12 × 477,225.22
  4. Step 4: Simplify right side
    703,973.38x = 463,998,980,294.73
  5. Step 5: Solve for x
    x = 463,998,980,294.73/703,973.38
  6. Step 6: Final answer
    x = 659,114.38

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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.