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Finding the Fourth Proportional to 645,206, 890,384.28 and 362,582

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Solution

The fourth proportional to 645,206, 890,384.28 and 362,582 is: 500,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,206 : 890,384.28 = 362,582 : x
  2. Step 2: Convert to fraction form
    645,206/890,384.28 = 362,582/x
  3. Step 3: Cross multiply
    645,206x = 890,384.28 × 362,582
  4. Step 4: Simplify right side
    645,206x = 322,837,313,010.96
  5. Step 5: Solve for x
    x = 322,837,313,010.96/645,206
  6. Step 6: Final answer
    x = 500,363.16

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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.