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Finding the Fourth Proportional to 635,427.50, 877,086.78 and 409,073

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Solution

The fourth proportional to 635,427.50, 877,086.78 and 409,073 is: 564,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,427.50 : 877,086.78 = 409,073 : x
  2. Step 2: Convert to fraction form
    635,427.50/877,086.78 = 409,073/x
  3. Step 3: Cross multiply
    635,427.50x = 877,086.78 × 409,073
  4. Step 4: Simplify right side
    635,427.50x = 358,792,520,354.94
  5. Step 5: Solve for x
    x = 358,792,520,354.94/635,427.50
  6. Step 6: Final answer
    x = 564,647.45

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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.