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Finding the Fourth Proportional to 698,243.56, 963,685.56 and 411,795.16

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Solution

The fourth proportional to 698,243.56, 963,685.56 and 411,795.16 is: 568,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,243.56 : 963,685.56 = 411,795.16 : x
  2. Step 2: Convert to fraction form
    698,243.56/963,685.56 = 411,795.16/x
  3. Step 3: Cross multiply
    698,243.56x = 963,685.56 × 411,795.16
  4. Step 4: Simplify right side
    698,243.56x = 396,841,049,369.89
  5. Step 5: Solve for x
    x = 396,841,049,369.89/698,243.56
  6. Step 6: Final answer
    x = 568,341.87

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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.