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Finding the Fourth Proportional to 403,265.94, 604,476.86 and 150,444.68

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Solution

The fourth proportional to 403,265.94, 604,476.86 and 150,444.68 is: 225,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,265.94 : 604,476.86 = 150,444.68 : x
  2. Step 2: Convert to fraction form
    403,265.94/604,476.86 = 150,444.68/x
  3. Step 3: Cross multiply
    403,265.94x = 604,476.86 × 150,444.68
  4. Step 4: Simplify right side
    403,265.94x = 90,940,327,770.10
  5. Step 5: Solve for x
    x = 90,940,327,770.10/403,265.94
  6. Step 6: Final answer
    x = 225,509.57

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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.