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Finding the Fourth Proportional to 403,896.80, 564,349.60 and 403,896.80

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Solution

The fourth proportional to 403,896.80, 564,349.60 and 403,896.80 is: 564,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,896.80 : 564,349.60 = 403,896.80 : x
  2. Step 2: Convert to fraction form
    403,896.80/564,349.60 = 403,896.80/x
  3. Step 3: Cross multiply
    403,896.80x = 564,349.60 × 403,896.80
  4. Step 4: Simplify right side
    403,896.80x = 227,938,997,521.28
  5. Step 5: Solve for x
    x = 227,938,997,521.28/403,896.80
  6. Step 6: Final answer
    x = 564,349.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.