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Finding the Fourth Proportional to 585,273, 807,676.74 and 317,001

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Solution

The fourth proportional to 585,273, 807,676.74 and 317,001 is: 437,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,273 : 807,676.74 = 317,001 : x
  2. Step 2: Convert to fraction form
    585,273/807,676.74 = 317,001/x
  3. Step 3: Cross multiply
    585,273x = 807,676.74 × 317,001
  4. Step 4: Simplify right side
    585,273x = 256,034,334,256.74
  5. Step 5: Solve for x
    x = 256,034,334,256.74/585,273
  6. Step 6: Final answer
    x = 437,461.38

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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.