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Finding the Fourth Proportional to 471,117, 706,831.02 and 190,481.16

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Solution

The fourth proportional to 471,117, 706,831.02 and 190,481.16 is: 285,784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,117 : 706,831.02 = 190,481.16 : x
  2. Step 2: Convert to fraction form
    471,117/706,831.02 = 190,481.16/x
  3. Step 3: Cross multiply
    471,117x = 706,831.02 × 190,481.16
  4. Step 4: Simplify right side
    471,117x = 134,637,992,613.58
  5. Step 5: Solve for x
    x = 134,637,992,613.58/471,117
  6. Step 6: Final answer
    x = 285,784.62

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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.