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Finding the Fourth Proportional to 698,345.40, 963,842.22 and 411,848.76

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Solution

The fourth proportional to 698,345.40, 963,842.22 and 411,848.76 is: 568,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,345.40 : 963,842.22 = 411,848.76 : x
  2. Step 2: Convert to fraction form
    698,345.40/963,842.22 = 411,848.76/x
  3. Step 3: Cross multiply
    698,345.40x = 963,842.22 × 411,848.76
  4. Step 4: Simplify right side
    698,345.40x = 396,957,223,142.65
  5. Step 5: Solve for x
    x = 396,957,223,142.65/698,345.40
  6. Step 6: Final answer
    x = 568,425.34

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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.