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Finding the Fourth Proportional to 698,342.40, 963,838.08 and 411,845.76

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Solution

The fourth proportional to 698,342.40, 963,838.08 and 411,845.76 is: 568,421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,342.40 : 963,838.08 = 411,845.76 : x
  2. Step 2: Convert to fraction form
    698,342.40/963,838.08 = 411,845.76/x
  3. Step 3: Cross multiply
    698,342.40x = 963,838.08 × 411,845.76
  4. Step 4: Simplify right side
    698,342.40x = 396,952,626,574.54
  5. Step 5: Solve for x
    x = 396,952,626,574.54/698,342.40
  6. Step 6: Final answer
    x = 568,421.20

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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.