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Finding the Fourth Proportional to 584,534, 806,656.92 and 316,262

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Solution

The fourth proportional to 584,534, 806,656.92 and 316,262 is: 436,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,534 : 806,656.92 = 316,262 : x
  2. Step 2: Convert to fraction form
    584,534/806,656.92 = 316,262/x
  3. Step 3: Cross multiply
    584,534x = 806,656.92 × 316,262
  4. Step 4: Simplify right side
    584,534x = 255,114,930,833.04
  5. Step 5: Solve for x
    x = 255,114,930,833.04/584,534
  6. Step 6: Final answer
    x = 436,441.56

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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.