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Finding the Fourth Proportional to 484,957.29, 727,435.94 and 147,999.66

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Solution

The fourth proportional to 484,957.29, 727,435.94 and 147,999.66 is: 221,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,957.29 : 727,435.94 = 147,999.66 : x
  2. Step 2: Convert to fraction form
    484,957.29/727,435.94 = 147,999.66/x
  3. Step 3: Cross multiply
    484,957.29x = 727,435.94 × 147,999.66
  4. Step 4: Simplify right side
    484,957.29x = 107,660,273,779.67
  5. Step 5: Solve for x
    x = 107,660,273,779.67/484,957.29
  6. Step 6: Final answer
    x = 221,999.50

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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.