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Finding the Fourth Proportional to 477,286.20, 658,642.32 and 259,488

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Solution

The fourth proportional to 477,286.20, 658,642.32 and 259,488 is: 358,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,286.20 : 658,642.32 = 259,488 : x
  2. Step 2: Convert to fraction form
    477,286.20/658,642.32 = 259,488/x
  3. Step 3: Cross multiply
    477,286.20x = 658,642.32 × 259,488
  4. Step 4: Simplify right side
    477,286.20x = 170,909,778,332.16
  5. Step 5: Solve for x
    x = 170,909,778,332.16/477,286.20
  6. Step 6: Final answer
    x = 358,086.57

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