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Finding the Fourth Proportional to 492,823.40, 739,235.10 and 471,828.20

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Solution

The fourth proportional to 492,823.40, 739,235.10 and 471,828.20 is: 707,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,823.40 : 739,235.10 = 471,828.20 : x
  2. Step 2: Convert to fraction form
    492,823.40/739,235.10 = 471,828.20/x
  3. Step 3: Cross multiply
    492,823.40x = 739,235.10 × 471,828.20
  4. Step 4: Simplify right side
    492,823.40x = 348,791,966,609.82
  5. Step 5: Solve for x
    x = 348,791,966,609.82/492,823.40
  6. Step 6: Final answer
    x = 707,742.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.