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Finding the Fourth Proportional to 686,101.60, 946,809.84 and 384,306.40

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Solution

The fourth proportional to 686,101.60, 946,809.84 and 384,306.40 is: 530,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,101.60 : 946,809.84 = 384,306.40 : x
  2. Step 2: Convert to fraction form
    686,101.60/946,809.84 = 384,306.40/x
  3. Step 3: Cross multiply
    686,101.60x = 946,809.84 × 384,306.40
  4. Step 4: Simplify right side
    686,101.60x = 363,865,081,094.98
  5. Step 5: Solve for x
    x = 363,865,081,094.98/686,101.60
  6. Step 6: Final answer
    x = 530,337.02

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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.