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Finding the Fourth Proportional to 562,285.10, 843,622.05 and 542,845.10

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Solution

The fourth proportional to 562,285.10, 843,622.05 and 542,845.10 is: 814,455.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,285.10 : 843,622.05 = 542,845.10 : x
  2. Step 2: Convert to fraction form
    562,285.10/843,622.05 = 542,845.10/x
  3. Step 3: Cross multiply
    562,285.10x = 843,622.05 × 542,845.10
  4. Step 4: Simplify right side
    562,285.10x = 457,956,096,094.46
  5. Step 5: Solve for x
    x = 457,956,096,094.46/562,285.10
  6. Step 6: Final answer
    x = 814,455.33

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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.