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Finding the Fourth Proportional to 713,609.10, 984,826.08 and 471,466.89

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Solution

The fourth proportional to 713,609.10, 984,826.08 and 471,466.89 is: 650,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,609.10 : 984,826.08 = 471,466.89 : x
  2. Step 2: Convert to fraction form
    713,609.10/984,826.08 = 471,466.89/x
  3. Step 3: Cross multiply
    713,609.10x = 984,826.08 × 471,466.89
  4. Step 4: Simplify right side
    713,609.10x = 464,312,889,128.49
  5. Step 5: Solve for x
    x = 464,312,889,128.49/713,609.10
  6. Step 6: Final answer
    x = 650,654.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.