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Finding the Fourth Proportional to 477,188.17, 658,532.28 and 259,411.50

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Solution

The fourth proportional to 477,188.17, 658,532.28 and 259,411.50 is: 357,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,188.17 : 658,532.28 = 259,411.50 : x
  2. Step 2: Convert to fraction form
    477,188.17/658,532.28 = 259,411.50/x
  3. Step 3: Cross multiply
    477,188.17x = 658,532.28 × 259,411.50
  4. Step 4: Simplify right side
    477,188.17x = 170,830,846,553.22
  5. Step 5: Solve for x
    x = 170,830,846,553.22/477,188.17
  6. Step 6: Final answer
    x = 357,994.72

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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.