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Finding the Fourth Proportional to 651,404.20, 976,976.70 and 314,444.20

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Solution

The fourth proportional to 651,404.20, 976,976.70 and 314,444.20 is: 471,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,404.20 : 976,976.70 = 314,444.20 : x
  2. Step 2: Convert to fraction form
    651,404.20/976,976.70 = 314,444.20/x
  3. Step 3: Cross multiply
    651,404.20x = 976,976.70 × 314,444.20
  4. Step 4: Simplify right side
    651,404.20x = 307,204,656,850.14
  5. Step 5: Solve for x
    x = 307,204,656,850.14/651,404.20
  6. Step 6: Final answer
    x = 471,603.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.