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Finding the Fourth Proportional to 465,775.40, 698,663.10 and 414,165.80

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Solution

The fourth proportional to 465,775.40, 698,663.10 and 414,165.80 is: 621,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,775.40 : 698,663.10 = 414,165.80 : x
  2. Step 2: Convert to fraction form
    465,775.40/698,663.10 = 414,165.80/x
  3. Step 3: Cross multiply
    465,775.40x = 698,663.10 × 414,165.80
  4. Step 4: Simplify right side
    465,775.40x = 289,362,361,741.98
  5. Step 5: Solve for x
    x = 289,362,361,741.98/465,775.40
  6. Step 6: Final answer
    x = 621,248.70

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Similar ratio
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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.