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Finding the Fourth Proportional to 475,647.84, 656,393.81 and 260,783.33

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Solution

The fourth proportional to 475,647.84, 656,393.81 and 260,783.33 is: 359,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,647.84 : 656,393.81 = 260,783.33 : x
  2. Step 2: Convert to fraction form
    475,647.84/656,393.81 = 260,783.33/x
  3. Step 3: Cross multiply
    475,647.84x = 656,393.81 × 260,783.33
  4. Step 4: Simplify right side
    475,647.84x = 171,176,558,977.30
  5. Step 5: Solve for x
    x = 171,176,558,977.30/475,647.84
  6. Step 6: Final answer
    x = 359,880.87

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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.