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Finding the Fourth Proportional to 460,915.60, 691,373.40 and 413,676.40

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Solution

The fourth proportional to 460,915.60, 691,373.40 and 413,676.40 is: 620,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,915.60 : 691,373.40 = 413,676.40 : x
  2. Step 2: Convert to fraction form
    460,915.60/691,373.40 = 413,676.40/x
  3. Step 3: Cross multiply
    460,915.60x = 691,373.40 × 413,676.40
  4. Step 4: Simplify right side
    460,915.60x = 286,004,859,167.76
  5. Step 5: Solve for x
    x = 286,004,859,167.76/460,915.60
  6. Step 6: Final answer
    x = 620,514.60

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Similar ratio
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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.