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Finding the Fourth Proportional to 325,237.80, 487,710.90 and 147,653.40

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Solution

The fourth proportional to 325,237.80, 487,710.90 and 147,653.40 is: 221,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,237.80 : 487,710.90 = 147,653.40 : x
  2. Step 2: Convert to fraction form
    325,237.80/487,710.90 = 147,653.40/x
  3. Step 3: Cross multiply
    325,237.80x = 487,710.90 × 147,653.40
  4. Step 4: Simplify right side
    325,237.80x = 72,012,172,602.06
  5. Step 5: Solve for x
    x = 72,012,172,602.06/325,237.80
  6. Step 6: Final answer
    x = 221,413.91

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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.