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Finding the Fourth Proportional to 564,115.89, 778,466.56 and 309,464.85

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Solution

The fourth proportional to 564,115.89, 778,466.56 and 309,464.85 is: 427,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,115.89 : 778,466.56 = 309,464.85 : x
  2. Step 2: Convert to fraction form
    564,115.89/778,466.56 = 309,464.85/x
  3. Step 3: Cross multiply
    564,115.89x = 778,466.56 × 309,464.85
  4. Step 4: Simplify right side
    564,115.89x = 240,908,037,220.42
  5. Step 5: Solve for x
    x = 240,908,037,220.42/564,115.89
  6. Step 6: Final answer
    x = 427,054.16

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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.