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Finding the Fourth Proportional to 484,857.06, 727,400.07 and 152,433.06

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Solution

The fourth proportional to 484,857.06, 727,400.07 and 152,433.06 is: 228,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,857.06 : 727,400.07 = 152,433.06 : x
  2. Step 2: Convert to fraction form
    484,857.06/727,400.07 = 152,433.06/x
  3. Step 3: Cross multiply
    484,857.06x = 727,400.07 × 152,433.06
  4. Step 4: Simplify right side
    484,857.06x = 110,879,818,514.31
  5. Step 5: Solve for x
    x = 110,879,818,514.31/484,857.06
  6. Step 6: Final answer
    x = 228,685.58

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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.