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Finding the Fourth Proportional to 562,298.10, 843,641.55 and 542,858.10

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Solution

The fourth proportional to 562,298.10, 843,641.55 and 542,858.10 is: 814,474.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,298.10 : 843,641.55 = 542,858.10 : x
  2. Step 2: Convert to fraction form
    562,298.10/843,641.55 = 542,858.10/x
  3. Step 3: Cross multiply
    562,298.10x = 843,641.55 × 542,858.10
  4. Step 4: Simplify right side
    562,298.10x = 457,977,648,914.06
  5. Step 5: Solve for x
    x = 457,977,648,914.06/562,298.10
  6. Step 6: Final answer
    x = 814,474.83

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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.