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Finding the Fourth Proportional to 410,013.84, 565,823.52 and 228,724.32

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Solution

The fourth proportional to 410,013.84, 565,823.52 and 228,724.32 is: 315,642.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,013.84 : 565,823.52 = 228,724.32 : x
  2. Step 2: Convert to fraction form
    410,013.84/565,823.52 = 228,724.32/x
  3. Step 3: Cross multiply
    410,013.84x = 565,823.52 × 228,724.32
  4. Step 4: Simplify right side
    410,013.84x = 129,417,599,852.01
  5. Step 5: Solve for x
    x = 129,417,599,852.01/410,013.84
  6. Step 6: Final answer
    x = 315,642.03

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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.