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Finding the Fourth Proportional to 409,405.08, 564,970.50 and 228,116.28

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Solution

The fourth proportional to 409,405.08, 564,970.50 and 228,116.28 is: 314,795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,405.08 : 564,970.50 = 228,116.28 : x
  2. Step 2: Convert to fraction form
    409,405.08/564,970.50 = 228,116.28/x
  3. Step 3: Cross multiply
    409,405.08x = 564,970.50 × 228,116.28
  4. Step 4: Simplify right side
    409,405.08x = 128,878,968,769.74
  5. Step 5: Solve for x
    x = 128,878,968,769.74/409,405.08
  6. Step 6: Final answer
    x = 314,795.72

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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.