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Finding the Fourth Proportional to 484,670.76, 727,111.02 and 147,702.51

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Solution

The fourth proportional to 484,670.76, 727,111.02 and 147,702.51 is: 221,585.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,670.76 : 727,111.02 = 147,702.51 : x
  2. Step 2: Convert to fraction form
    484,670.76/727,111.02 = 147,702.51/x
  3. Step 3: Cross multiply
    484,670.76x = 727,111.02 × 147,702.51
  4. Step 4: Simplify right side
    484,670.76x = 107,396,122,702.66
  5. Step 5: Solve for x
    x = 107,396,122,702.66/484,670.76
  6. Step 6: Final answer
    x = 221,585.73

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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.