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Finding the Fourth Proportional to 410,929.34, 567,083.26 and 229,641.28

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Solution

The fourth proportional to 410,929.34, 567,083.26 and 229,641.28 is: 316,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,929.34 : 567,083.26 = 229,641.28 : x
  2. Step 2: Convert to fraction form
    410,929.34/567,083.26 = 229,641.28/x
  3. Step 3: Cross multiply
    410,929.34x = 567,083.26 × 229,641.28
  4. Step 4: Simplify right side
    410,929.34x = 130,225,725,692.97
  5. Step 5: Solve for x
    x = 130,225,725,692.97/410,929.34
  6. Step 6: Final answer
    x = 316,905.40

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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.