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Finding the Fourth Proportional to 409,185.90, 564,674.94 and 227,899.98

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Solution

The fourth proportional to 409,185.90, 564,674.94 and 227,899.98 is: 314,501.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,185.90 : 564,674.94 = 227,899.98 : x
  2. Step 2: Convert to fraction form
    409,185.90/564,674.94 = 227,899.98/x
  3. Step 3: Cross multiply
    409,185.90x = 564,674.94 × 227,899.98
  4. Step 4: Simplify right side
    409,185.90x = 128,689,407,532.50
  5. Step 5: Solve for x
    x = 128,689,407,532.50/409,185.90
  6. Step 6: Final answer
    x = 314,501.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.