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Finding the Fourth Proportional to 705,845, 974,066.10 and 387,893

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Solution

The fourth proportional to 705,845, 974,066.10 and 387,893 is: 535,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,845 : 974,066.10 = 387,893 : x
  2. Step 2: Convert to fraction form
    705,845/974,066.10 = 387,893/x
  3. Step 3: Cross multiply
    705,845x = 974,066.10 × 387,893
  4. Step 4: Simplify right side
    705,845x = 377,833,421,727.30
  5. Step 5: Solve for x
    x = 377,833,421,727.30/705,845
  6. Step 6: Final answer
    x = 535,292.34

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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.