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Finding the Fourth Proportional to 795,711, 1,098,083.34 and 438,015

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Solution

The fourth proportional to 795,711, 1,098,083.34 and 438,015 is: 604,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,711 : 1,098,083.34 = 438,015 : x
  2. Step 2: Convert to fraction form
    795,711/1,098,083.34 = 438,015/x
  3. Step 3: Cross multiply
    795,711x = 1,098,083.34 × 438,015
  4. Step 4: Simplify right side
    795,711x = 480,976,974,170.10
  5. Step 5: Solve for x
    x = 480,976,974,170.10/795,711
  6. Step 6: Final answer
    x = 604,461.89

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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.