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Finding the Fourth Proportional to 585,283.32, 807,451.94 and 463,937.63

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Solution

The fourth proportional to 585,283.32, 807,451.94 and 463,937.63 is: 640,044.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,283.32 : 807,451.94 = 463,937.63 : x
  2. Step 2: Convert to fraction form
    585,283.32/807,451.94 = 463,937.63/x
  3. Step 3: Cross multiply
    585,283.32x = 807,451.94 × 463,937.63
  4. Step 4: Simplify right side
    585,283.32x = 374,607,336,505.09
  5. Step 5: Solve for x
    x = 374,607,336,505.09/585,283.32
  6. Step 6: Final answer
    x = 640,044.44

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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.