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Finding the Fourth Proportional to 476,201.40, 714,302.10 and 457,830.60

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Solution

The fourth proportional to 476,201.40, 714,302.10 and 457,830.60 is: 686,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,201.40 : 714,302.10 = 457,830.60 : x
  2. Step 2: Convert to fraction form
    476,201.40/714,302.10 = 457,830.60/x
  3. Step 3: Cross multiply
    476,201.40x = 714,302.10 × 457,830.60
  4. Step 4: Simplify right side
    476,201.40x = 327,029,359,024.26
  5. Step 5: Solve for x
    x = 327,029,359,024.26/476,201.40
  6. Step 6: Final answer
    x = 686,745.90

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Similar ratio
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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.