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Finding the Fourth Proportional to 476,102.20, 714,153.30 and 456,419.20

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Solution

The fourth proportional to 476,102.20, 714,153.30 and 456,419.20 is: 684,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,102.20 : 714,153.30 = 456,419.20 : x
  2. Step 2: Convert to fraction form
    476,102.20/714,153.30 = 456,419.20/x
  3. Step 3: Cross multiply
    476,102.20x = 714,153.30 × 456,419.20
  4. Step 4: Simplify right side
    476,102.20x = 325,953,277,863.36
  5. Step 5: Solve for x
    x = 325,953,277,863.36/476,102.20
  6. Step 6: Final answer
    x = 684,628.80

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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.