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Finding the Fourth Proportional to 1,023,684, 1,412,679.95 and 564,827.13

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Solution

The fourth proportional to 1,023,684, 1,412,679.95 and 564,827.13 is: 779,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,684 : 1,412,679.95 = 564,827.13 : x
  2. Step 2: Convert to fraction form
    1,023,684/1,412,679.95 = 564,827.13/x
  3. Step 3: Cross multiply
    1,023,684x = 1,412,679.95 × 564,827.13
  4. Step 4: Simplify right side
    1,023,684x = 797,919,958,942.91
  5. Step 5: Solve for x
    x = 797,919,958,942.91/1,023,684
  6. Step 6: Final answer
    x = 779,459.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.