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Finding the Fourth Proportional to 466,809.40, 698,658.90 and 410,822.20

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Solution

The fourth proportional to 466,809.40, 698,658.90 and 410,822.20 is: 614,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,809.40 : 698,658.90 = 410,822.20 : x
  2. Step 2: Convert to fraction form
    466,809.40/698,658.90 = 410,822.20/x
  3. Step 3: Cross multiply
    466,809.40x = 698,658.90 × 410,822.20
  4. Step 4: Simplify right side
    466,809.40x = 287,024,586,347.58
  5. Step 5: Solve for x
    x = 287,024,586,347.58/466,809.40
  6. Step 6: Final answer
    x = 614,864.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.