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Finding the Fourth Proportional to 585,657, 808,207.20 and 317,385

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Solution

The fourth proportional to 585,657, 808,207.20 and 317,385 is: 437,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,657 : 808,207.20 = 317,385 : x
  2. Step 2: Convert to fraction form
    585,657/808,207.20 = 317,385/x
  3. Step 3: Cross multiply
    585,657x = 808,207.20 × 317,385
  4. Step 4: Simplify right side
    585,657x = 256,512,842,172
  5. Step 5: Solve for x
    x = 256,512,842,172/585,657
  6. Step 6: Final answer
    x = 437,991.59

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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.