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Finding the Fourth Proportional to 460,902.40, 691,353.60 and 429,409.60

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Solution

The fourth proportional to 460,902.40, 691,353.60 and 429,409.60 is: 644,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,902.40 : 691,353.60 = 429,409.60 : x
  2. Step 2: Convert to fraction form
    460,902.40/691,353.60 = 429,409.60/x
  3. Step 3: Cross multiply
    460,902.40x = 691,353.60 × 429,409.60
  4. Step 4: Simplify right side
    460,902.40x = 296,873,872,834.56
  5. Step 5: Solve for x
    x = 296,873,872,834.56/460,902.40
  6. Step 6: Final answer
    x = 644,114.40

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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.