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Finding the Fourth Proportional to 468,049.13, 645,907.06 and 253,188.53

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Solution

The fourth proportional to 468,049.13, 645,907.06 and 253,188.53 is: 349,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,049.13 : 645,907.06 = 253,188.53 : x
  2. Step 2: Convert to fraction form
    468,049.13/645,907.06 = 253,188.53/x
  3. Step 3: Cross multiply
    468,049.13x = 645,907.06 × 253,188.53
  4. Step 4: Simplify right side
    468,049.13x = 163,536,259,038.02
  5. Step 5: Solve for x
    x = 163,536,259,038.02/468,049.13
  6. Step 6: Final answer
    x = 349,399.77

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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.