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Finding the Fourth Proportional to 477,141.46, 658,459.63 and 259,350.65

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Solution

The fourth proportional to 477,141.46, 658,459.63 and 259,350.65 is: 357,906.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,141.46 : 658,459.63 = 259,350.65 : x
  2. Step 2: Convert to fraction form
    477,141.46/658,459.63 = 259,350.65/x
  3. Step 3: Cross multiply
    477,141.46x = 658,459.63 × 259,350.65
  4. Step 4: Simplify right side
    477,141.46x = 170,771,931,892.00
  5. Step 5: Solve for x
    x = 170,771,931,892.00/477,141.46
  6. Step 6: Final answer
    x = 357,906.29

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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.