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Finding the Fourth Proportional to 471,831.40, 706,364.70 and 416,535.40

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Solution

The fourth proportional to 471,831.40, 706,364.70 and 416,535.40 is: 623,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,831.40 : 706,364.70 = 416,535.40 : x
  2. Step 2: Convert to fraction form
    471,831.40/706,364.70 = 416,535.40/x
  3. Step 3: Cross multiply
    471,831.40x = 706,364.70 × 416,535.40
  4. Step 4: Simplify right side
    471,831.40x = 294,225,902,860.38
  5. Step 5: Solve for x
    x = 294,225,902,860.38/471,831.40
  6. Step 6: Final answer
    x = 623,582.71

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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.