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Finding the Fourth Proportional to 331,458.98, 457,413.42 and 180,555.98

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Solution

The fourth proportional to 331,458.98, 457,413.42 and 180,555.98 is: 249,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,458.98 : 457,413.42 = 180,555.98 : x
  2. Step 2: Convert to fraction form
    331,458.98/457,413.42 = 180,555.98/x
  3. Step 3: Cross multiply
    331,458.98x = 457,413.42 × 180,555.98
  4. Step 4: Simplify right side
    331,458.98x = 82,588,726,026.18
  5. Step 5: Solve for x
    x = 82,588,726,026.18/331,458.98
  6. Step 6: Final answer
    x = 249,167.26

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1.5x scale

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.