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Finding the Fourth Proportional to 564,517.07, 778,679.19 and 334,911.80

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Solution

The fourth proportional to 564,517.07, 778,679.19 and 334,911.80 is: 461,968.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,517.07 : 778,679.19 = 334,911.80 : x
  2. Step 2: Convert to fraction form
    564,517.07/778,679.19 = 334,911.80/x
  3. Step 3: Cross multiply
    564,517.07x = 778,679.19 × 334,911.80
  4. Step 4: Simplify right side
    564,517.07x = 260,788,849,145.44
  5. Step 5: Solve for x
    x = 260,788,849,145.44/564,517.07
  6. Step 6: Final answer
    x = 461,968.05

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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.