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Finding the Fourth Proportional to 477,617.42, 659,116.32 and 259,830.84

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Solution

The fourth proportional to 477,617.42, 659,116.32 and 259,830.84 is: 358,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,617.42 : 659,116.32 = 259,830.84 : x
  2. Step 2: Convert to fraction form
    477,617.42/659,116.32 = 259,830.84/x
  3. Step 3: Cross multiply
    477,617.42x = 659,116.32 × 259,830.84
  4. Step 4: Simplify right side
    477,617.42x = 171,258,746,334.65
  5. Step 5: Solve for x
    x = 171,258,746,334.65/477,617.42
  6. Step 6: Final answer
    x = 358,568.89

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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.