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Finding the Fourth Proportional to 441,968, 662,952 and 146,480

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Solution

The fourth proportional to 441,968, 662,952 and 146,480 is: 219,720

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,968 : 662,952 = 146,480 : x
  2. Step 2: Convert to fraction form
    441,968/662,952 = 146,480/x
  3. Step 3: Cross multiply
    441,968x = 662,952 × 146,480
  4. Step 4: Simplify right side
    441,968x = 97,109,208,960
  5. Step 5: Solve for x
    x = 97,109,208,960/441,968
  6. Step 6: Final answer
    x = 219,720

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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.