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Finding the Fourth Proportional to 409,382.19, 564,964.80 and 228,094.02

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Solution

The fourth proportional to 409,382.19, 564,964.80 and 228,094.02 is: 314,779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,382.19 : 564,964.80 = 228,094.02 : x
  2. Step 2: Convert to fraction form
    409,382.19/564,964.80 = 228,094.02/x
  3. Step 3: Cross multiply
    409,382.19x = 564,964.80 × 228,094.02
  4. Step 4: Simplify right side
    409,382.19x = 128,865,092,390.50
  5. Step 5: Solve for x
    x = 128,865,092,390.50/409,382.19
  6. Step 6: Final answer
    x = 314,779.43

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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.