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Finding the Fourth Proportional to 645,207, 890,385.66 and 362,583

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Solution

The fourth proportional to 645,207, 890,385.66 and 362,583 is: 500,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,207 : 890,385.66 = 362,583 : x
  2. Step 2: Convert to fraction form
    645,207/890,385.66 = 362,583/x
  3. Step 3: Cross multiply
    645,207x = 890,385.66 × 362,583
  4. Step 4: Simplify right side
    645,207x = 322,838,703,759.78
  5. Step 5: Solve for x
    x = 322,838,703,759.78/645,207
  6. Step 6: Final answer
    x = 500,364.54

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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.