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Finding the Fourth Proportional to 475,208.40, 655,788.42 and 260,343.84

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Solution

The fourth proportional to 475,208.40, 655,788.42 and 260,343.84 is: 359,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,208.40 : 655,788.42 = 260,343.84 : x
  2. Step 2: Convert to fraction form
    475,208.40/655,788.42 = 260,343.84/x
  3. Step 3: Cross multiply
    475,208.40x = 655,788.42 × 260,343.84
  4. Step 4: Simplify right side
    475,208.40x = 170,730,475,490.33
  5. Step 5: Solve for x
    x = 170,730,475,490.33/475,208.40
  6. Step 6: Final answer
    x = 359,274.95

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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.