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Finding the Fourth Proportional to 635,410.50, 877,063.32 and 409,056

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Solution

The fourth proportional to 635,410.50, 877,063.32 and 409,056 is: 564,623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,410.50 : 877,063.32 = 409,056 : x
  2. Step 2: Convert to fraction form
    635,410.50/877,063.32 = 409,056/x
  3. Step 3: Cross multiply
    635,410.50x = 877,063.32 × 409,056
  4. Step 4: Simplify right side
    635,410.50x = 358,768,013,425.92
  5. Step 5: Solve for x
    x = 358,768,013,425.92/635,410.50
  6. Step 6: Final answer
    x = 564,623.99

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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.