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Finding the Fourth Proportional to 468,076.42, 645,944.88 and 253,216

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Solution

The fourth proportional to 468,076.42, 645,944.88 and 253,216 is: 349,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,076.42 : 645,944.88 = 253,216 : x
  2. Step 2: Convert to fraction form
    468,076.42/645,944.88 = 253,216/x
  3. Step 3: Cross multiply
    468,076.42x = 645,944.88 × 253,216
  4. Step 4: Simplify right side
    468,076.42x = 163,563,578,734.08
  5. Step 5: Solve for x
    x = 163,563,578,734.08/468,076.42
  6. Step 6: Final answer
    x = 349,437.77

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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.