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Finding the Fourth Proportional to 721,902.18, 996,314.04 and 411,881.10

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Solution

The fourth proportional to 721,902.18, 996,314.04 and 411,881.10 is: 568,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,902.18 : 996,314.04 = 411,881.10 : x
  2. Step 2: Convert to fraction form
    721,902.18/996,314.04 = 411,881.10/x
  3. Step 3: Cross multiply
    721,902.18x = 996,314.04 × 411,881.10
  4. Step 4: Simplify right side
    721,902.18x = 410,362,922,740.64
  5. Step 5: Solve for x
    x = 410,362,922,740.64/721,902.18
  6. Step 6: Final answer
    x = 568,446.71

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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.