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Finding the Fourth Proportional to 284,907.66, 427,459.77 and 107,465.46

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Solution

The fourth proportional to 284,907.66, 427,459.77 and 107,465.46 is: 161,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,907.66 : 427,459.77 = 107,465.46 : x
  2. Step 2: Convert to fraction form
    284,907.66/427,459.77 = 107,465.46/x
  3. Step 3: Cross multiply
    284,907.66x = 427,459.77 × 107,465.46
  4. Step 4: Simplify right side
    284,907.66x = 45,937,160,814.54
  5. Step 5: Solve for x
    x = 45,937,160,814.54/284,907.66
  6. Step 6: Final answer
    x = 161,235.26

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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.