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Finding the Fourth Proportional to 816,805.64, 1,224,408.56 and 457,152.14

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Solution

The fourth proportional to 816,805.64, 1,224,408.56 and 457,152.14 is: 685,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,805.64 : 1,224,408.56 = 457,152.14 : x
  2. Step 2: Convert to fraction form
    816,805.64/1,224,408.56 = 457,152.14/x
  3. Step 3: Cross multiply
    816,805.64x = 1,224,408.56 × 457,152.14
  4. Step 4: Simplify right side
    816,805.64x = 559,740,993,438.32
  5. Step 5: Solve for x
    x = 559,740,993,438.32/816,805.64
  6. Step 6: Final answer
    x = 685,280.52

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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.