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Finding the Fourth Proportional to 484,447, 726,787.20 and 152,023

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Solution

The fourth proportional to 484,447, 726,787.20 and 152,023 is: 228,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,447 : 726,787.20 = 152,023 : x
  2. Step 2: Convert to fraction form
    484,447/726,787.20 = 152,023/x
  3. Step 3: Cross multiply
    484,447x = 726,787.20 × 152,023
  4. Step 4: Simplify right side
    484,447x = 110,488,370,505.60
  5. Step 5: Solve for x
    x = 110,488,370,505.60/484,447
  6. Step 6: Final answer
    x = 228,071.12

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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.