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Finding the Fourth Proportional to 314,567.14, 472,053.62 and 114,870.82

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Solution

The fourth proportional to 314,567.14, 472,053.62 and 114,870.82 is: 172,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,567.14 : 472,053.62 = 114,870.82 : x
  2. Step 2: Convert to fraction form
    314,567.14/472,053.62 = 114,870.82/x
  3. Step 3: Cross multiply
    314,567.14x = 472,053.62 × 114,870.82
  4. Step 4: Simplify right side
    314,567.14x = 54,225,186,413.37
  5. Step 5: Solve for x
    x = 54,225,186,413.37/314,567.14
  6. Step 6: Final answer
    x = 172,380.33

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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.