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Finding the Fourth Proportional to 650,782.50, 976,805.03 and 314,060.13

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Solution

The fourth proportional to 650,782.50, 976,805.03 and 314,060.13 is: 471,394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,782.50 : 976,805.03 = 314,060.13 : x
  2. Step 2: Convert to fraction form
    650,782.50/976,805.03 = 314,060.13/x
  3. Step 3: Cross multiply
    650,782.50x = 976,805.03 × 314,060.13
  4. Step 4: Simplify right side
    650,782.50x = 306,775,513,136.15
  5. Step 5: Solve for x
    x = 306,775,513,136.15/650,782.50
  6. Step 6: Final answer
    x = 471,394.84

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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.