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Finding the Fourth Proportional to 508,802, 763,203 and 158,594

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Solution

The fourth proportional to 508,802, 763,203 and 158,594 is: 237,891

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,802 : 763,203 = 158,594 : x
  2. Step 2: Convert to fraction form
    508,802/763,203 = 158,594/x
  3. Step 3: Cross multiply
    508,802x = 763,203 × 158,594
  4. Step 4: Simplify right side
    508,802x = 121,039,416,582
  5. Step 5: Solve for x
    x = 121,039,416,582/508,802
  6. Step 6: Final answer
    x = 237,891

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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.