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Finding the Fourth Proportional to 463,867.80, 695,801.70 and 414,004.20

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Solution

The fourth proportional to 463,867.80, 695,801.70 and 414,004.20 is: 621,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,867.80 : 695,801.70 = 414,004.20 : x
  2. Step 2: Convert to fraction form
    463,867.80/695,801.70 = 414,004.20/x
  3. Step 3: Cross multiply
    463,867.80x = 695,801.70 × 414,004.20
  4. Step 4: Simplify right side
    463,867.80x = 288,064,826,167.14
  5. Step 5: Solve for x
    x = 288,064,826,167.14/463,867.80
  6. Step 6: Final answer
    x = 621,006.30

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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.