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Finding the Fourth Proportional to 456,503.61, 684,994.17 and 186,831.93

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Solution

The fourth proportional to 456,503.61, 684,994.17 and 186,831.93 is: 280,345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,503.61 : 684,994.17 = 186,831.93 : x
  2. Step 2: Convert to fraction form
    456,503.61/684,994.17 = 186,831.93/x
  3. Step 3: Cross multiply
    456,503.61x = 684,994.17 × 186,831.93
  4. Step 4: Simplify right side
    456,503.61x = 127,978,782,819.85
  5. Step 5: Solve for x
    x = 127,978,782,819.85/456,503.61
  6. Step 6: Final answer
    x = 280,345.61

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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.