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Finding the Fourth Proportional to 533,045.93, 735,532.26 and 342,317.66

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Solution

The fourth proportional to 533,045.93, 735,532.26 and 342,317.66 is: 472,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,045.93 : 735,532.26 = 342,317.66 : x
  2. Step 2: Convert to fraction form
    533,045.93/735,532.26 = 342,317.66/x
  3. Step 3: Cross multiply
    533,045.93x = 735,532.26 × 342,317.66
  4. Step 4: Simplify right side
    533,045.93x = 251,785,682,097.71
  5. Step 5: Solve for x
    x = 251,785,682,097.71/533,045.93
  6. Step 6: Final answer
    x = 472,352.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.