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Finding the Fourth Proportional to 476,480.04, 714,697.02 and 180,969

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Solution

The fourth proportional to 476,480.04, 714,697.02 and 180,969 is: 271,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,480.04 : 714,697.02 = 180,969 : x
  2. Step 2: Convert to fraction form
    476,480.04/714,697.02 = 180,969/x
  3. Step 3: Cross multiply
    476,480.04x = 714,697.02 × 180,969
  4. Step 4: Simplify right side
    476,480.04x = 129,338,005,012.38
  5. Step 5: Solve for x
    x = 129,338,005,012.38/476,480.04
  6. Step 6: Final answer
    x = 271,444.75

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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.