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Finding the Fourth Proportional to 1,092,411, 1,638,616.50 and 344,457

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Solution

The fourth proportional to 1,092,411, 1,638,616.50 and 344,457 is: 516,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,411 : 1,638,616.50 = 344,457 : x
  2. Step 2: Convert to fraction form
    1,092,411/1,638,616.50 = 344,457/x
  3. Step 3: Cross multiply
    1,092,411x = 1,638,616.50 × 344,457
  4. Step 4: Simplify right side
    1,092,411x = 564,432,923,740.50
  5. Step 5: Solve for x
    x = 564,432,923,740.50/1,092,411
  6. Step 6: Final answer
    x = 516,685.50

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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.