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Finding the Fourth Proportional to 588,240, 882,360 and 145,008

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Solution

The fourth proportional to 588,240, 882,360 and 145,008 is: 217,512

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,240 : 882,360 = 145,008 : x
  2. Step 2: Convert to fraction form
    588,240/882,360 = 145,008/x
  3. Step 3: Cross multiply
    588,240x = 882,360 × 145,008
  4. Step 4: Simplify right side
    588,240x = 127,949,258,880
  5. Step 5: Solve for x
    x = 127,949,258,880/588,240
  6. Step 6: Final answer
    x = 217,512

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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.