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Finding the Fourth Proportional to 457,774.50, 686,699.10 and 229,952.94

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Solution

The fourth proportional to 457,774.50, 686,699.10 and 229,952.94 is: 344,948.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,774.50 : 686,699.10 = 229,952.94 : x
  2. Step 2: Convert to fraction form
    457,774.50/686,699.10 = 229,952.94/x
  3. Step 3: Cross multiply
    457,774.50x = 686,699.10 × 229,952.94
  4. Step 4: Simplify right side
    457,774.50x = 157,908,476,940.35
  5. Step 5: Solve for x
    x = 157,908,476,940.35/457,774.50
  6. Step 6: Final answer
    x = 344,948.17

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