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Finding the Fourth Proportional to 698,413, 963,764.58 and 411,867.40

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Solution

The fourth proportional to 698,413, 963,764.58 and 411,867.40 is: 568,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,413 : 963,764.58 = 411,867.40 : x
  2. Step 2: Convert to fraction form
    698,413/963,764.58 = 411,867.40/x
  3. Step 3: Cross multiply
    698,413x = 963,764.58 × 411,867.40
  4. Step 4: Simplify right side
    698,413x = 396,943,211,776.69
  5. Step 5: Solve for x
    x = 396,943,211,776.69/698,413
  6. Step 6: Final answer
    x = 568,350.26

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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.