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Finding the Fourth Proportional to 584,262, 806,281.56 and 315,990

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Solution

The fourth proportional to 584,262, 806,281.56 and 315,990 is: 436,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,262 : 806,281.56 = 315,990 : x
  2. Step 2: Convert to fraction form
    584,262/806,281.56 = 315,990/x
  3. Step 3: Cross multiply
    584,262x = 806,281.56 × 315,990
  4. Step 4: Simplify right side
    584,262x = 254,776,910,144.40
  5. Step 5: Solve for x
    x = 254,776,910,144.40/584,262
  6. Step 6: Final answer
    x = 436,066.20

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