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Finding the Fourth Proportional to 477,618.42, 659,117.70 and 259,831.84

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Solution

The fourth proportional to 477,618.42, 659,117.70 and 259,831.84 is: 358,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,618.42 : 659,117.70 = 259,831.84 : x
  2. Step 2: Convert to fraction form
    477,618.42/659,117.70 = 259,831.84/x
  3. Step 3: Cross multiply
    477,618.42x = 659,117.70 × 259,831.84
  4. Step 4: Simplify right side
    477,618.42x = 171,259,764,767.57
  5. Step 5: Solve for x
    x = 171,259,764,767.57/477,618.42
  6. Step 6: Final answer
    x = 358,570.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.