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Finding the Fourth Proportional to 828,714.62, 1,143,727.22 and 466,153.76

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Solution

The fourth proportional to 828,714.62, 1,143,727.22 and 466,153.76 is: 643,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,714.62 : 1,143,727.22 = 466,153.76 : x
  2. Step 2: Convert to fraction form
    828,714.62/1,143,727.22 = 466,153.76/x
  3. Step 3: Cross multiply
    828,714.62x = 1,143,727.22 × 466,153.76
  4. Step 4: Simplify right side
    828,714.62x = 533,152,744,017.35
  5. Step 5: Solve for x
    x = 533,152,744,017.35/828,714.62
  6. Step 6: Final answer
    x = 643,349.03

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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.