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Finding the Fourth Proportional to 698,412, 963,763.20 and 411,866.40

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Solution

The fourth proportional to 698,412, 963,763.20 and 411,866.40 is: 568,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,412 : 963,763.20 = 411,866.40 : x
  2. Step 2: Convert to fraction form
    698,412/963,763.20 = 411,866.40/x
  3. Step 3: Cross multiply
    698,412x = 963,763.20 × 411,866.40
  4. Step 4: Simplify right side
    698,412x = 396,941,679,636.48
  5. Step 5: Solve for x
    x = 396,941,679,636.48/698,412
  6. Step 6: Final answer
    x = 568,348.88

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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.