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Finding the Fourth Proportional to 474,146.28, 711,290.16 and 174,603.84

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Solution

The fourth proportional to 474,146.28, 711,290.16 and 174,603.84 is: 261,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,146.28 : 711,290.16 = 174,603.84 : x
  2. Step 2: Convert to fraction form
    474,146.28/711,290.16 = 174,603.84/x
  3. Step 3: Cross multiply
    474,146.28x = 711,290.16 × 174,603.84
  4. Step 4: Simplify right side
    474,146.28x = 124,193,993,290.21
  5. Step 5: Solve for x
    x = 124,193,993,290.21/474,146.28
  6. Step 6: Final answer
    x = 261,931.81

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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.