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Finding the Fourth Proportional to 536,057.10, 807,938.74 and 462,070.22

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Solution

The fourth proportional to 536,057.10, 807,938.74 and 462,070.22 is: 696,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,057.10 : 807,938.74 = 462,070.22 : x
  2. Step 2: Convert to fraction form
    536,057.10/807,938.74 = 462,070.22/x
  3. Step 3: Cross multiply
    536,057.10x = 807,938.74 × 462,070.22
  4. Step 4: Simplify right side
    536,057.10x = 373,324,431,338.32
  5. Step 5: Solve for x
    x = 373,324,431,338.32/536,057.10
  6. Step 6: Final answer
    x = 696,426.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.