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Finding the Fourth Proportional to 475,607.54, 656,338.22 and 260,743

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Solution

The fourth proportional to 475,607.54, 656,338.22 and 260,743 is: 359,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,607.54 : 656,338.22 = 260,743 : x
  2. Step 2: Convert to fraction form
    475,607.54/656,338.22 = 260,743/x
  3. Step 3: Cross multiply
    475,607.54x = 656,338.22 × 260,743
  4. Step 4: Simplify right side
    475,607.54x = 171,135,596,497.46
  5. Step 5: Solve for x
    x = 171,135,596,497.46/475,607.54
  6. Step 6: Final answer
    x = 359,825.24

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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.