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Finding the Fourth Proportional to 460,912.60, 691,368.90 and 413,673.40

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Solution

The fourth proportional to 460,912.60, 691,368.90 and 413,673.40 is: 620,510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,912.60 : 691,368.90 = 413,673.40 : x
  2. Step 2: Convert to fraction form
    460,912.60/691,368.90 = 413,673.40/x
  3. Step 3: Cross multiply
    460,912.60x = 691,368.90 × 413,673.40
  4. Step 4: Simplify right side
    460,912.60x = 286,000,923,517.26
  5. Step 5: Solve for x
    x = 286,000,923,517.26/460,912.60
  6. Step 6: Final answer
    x = 620,510.10

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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.