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Finding the Fourth Proportional to 476,177.81, 714,258.83 and 191,861.42

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Solution

The fourth proportional to 476,177.81, 714,258.83 and 191,861.42 is: 287,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,177.81 : 714,258.83 = 191,861.42 : x
  2. Step 2: Convert to fraction form
    476,177.81/714,258.83 = 191,861.42/x
  3. Step 3: Cross multiply
    476,177.81x = 714,258.83 × 191,861.42
  4. Step 4: Simplify right side
    476,177.81x = 137,038,710,279.70
  5. Step 5: Solve for x
    x = 137,038,710,279.70/476,177.81
  6. Step 6: Final answer
    x = 287,788.95

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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.