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Finding the Fourth Proportional to 686,505.40, 1,029,758.10 and 569,865.40

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Solution

The fourth proportional to 686,505.40, 1,029,758.10 and 569,865.40 is: 854,798.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,505.40 : 1,029,758.10 = 569,865.40 : x
  2. Step 2: Convert to fraction form
    686,505.40/1,029,758.10 = 569,865.40/x
  3. Step 3: Cross multiply
    686,505.40x = 1,029,758.10 × 569,865.40
  4. Step 4: Simplify right side
    686,505.40x = 586,823,511,559.74
  5. Step 5: Solve for x
    x = 586,823,511,559.74/686,505.40
  6. Step 6: Final answer
    x = 854,798.10

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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.