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Finding the Fourth Proportional to 649,086.84, 973,712.16 and 222,507

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Solution

The fourth proportional to 649,086.84, 973,712.16 and 222,507 is: 333,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,086.84 : 973,712.16 = 222,507 : x
  2. Step 2: Convert to fraction form
    649,086.84/973,712.16 = 222,507/x
  3. Step 3: Cross multiply
    649,086.84x = 973,712.16 × 222,507
  4. Step 4: Simplify right side
    649,086.84x = 216,657,771,585.12
  5. Step 5: Solve for x
    x = 216,657,771,585.12/649,086.84
  6. Step 6: Final answer
    x = 333,788.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.