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Finding the Fourth Proportional to 585,222, 807,606.36 and 316,950

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Solution

The fourth proportional to 585,222, 807,606.36 and 316,950 is: 437,391

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,222 : 807,606.36 = 316,950 : x
  2. Step 2: Convert to fraction form
    585,222/807,606.36 = 316,950/x
  3. Step 3: Cross multiply
    585,222x = 807,606.36 × 316,950
  4. Step 4: Simplify right side
    585,222x = 255,970,835,802
  5. Step 5: Solve for x
    x = 255,970,835,802/585,222
  6. Step 6: Final answer
    x = 437,391

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.