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Finding the Fourth Proportional to 684,862.38, 945,490.17 and 412,999.14

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Solution

The fourth proportional to 684,862.38, 945,490.17 and 412,999.14 is: 570,168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,862.38 : 945,490.17 = 412,999.14 : x
  2. Step 2: Convert to fraction form
    684,862.38/945,490.17 = 412,999.14/x
  3. Step 3: Cross multiply
    684,862.38x = 945,490.17 × 412,999.14
  4. Step 4: Simplify right side
    684,862.38x = 390,486,627,088.45
  5. Step 5: Solve for x
    x = 390,486,627,088.45/684,862.38
  6. Step 6: Final answer
    x = 570,168.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.