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Finding the Fourth Proportional to 698,347.40, 963,844.98 and 411,850.76

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Solution

The fourth proportional to 698,347.40, 963,844.98 and 411,850.76 is: 568,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,347.40 : 963,844.98 = 411,850.76 : x
  2. Step 2: Convert to fraction form
    698,347.40/963,844.98 = 411,850.76/x
  3. Step 3: Cross multiply
    698,347.40x = 963,844.98 × 411,850.76
  4. Step 4: Simplify right side
    698,347.40x = 396,960,287,535.19
  5. Step 5: Solve for x
    x = 396,960,287,535.19/698,347.40
  6. Step 6: Final answer
    x = 568,428.10

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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.