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Finding the Fourth Proportional to 465,074.10, 697,611.15 and 457,200.90

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Solution

The fourth proportional to 465,074.10, 697,611.15 and 457,200.90 is: 685,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,074.10 : 697,611.15 = 457,200.90 : x
  2. Step 2: Convert to fraction form
    465,074.10/697,611.15 = 457,200.90/x
  3. Step 3: Cross multiply
    465,074.10x = 697,611.15 × 457,200.90
  4. Step 4: Simplify right side
    465,074.10x = 318,948,445,630.04
  5. Step 5: Solve for x
    x = 318,948,445,630.04/465,074.10
  6. Step 6: Final answer
    x = 685,801.35

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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.