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Finding the Fourth Proportional to 468,253.14, 646,188.56 and 264,346.98

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Solution

The fourth proportional to 468,253.14, 646,188.56 and 264,346.98 is: 364,798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,253.14 : 646,188.56 = 264,346.98 : x
  2. Step 2: Convert to fraction form
    468,253.14/646,188.56 = 264,346.98/x
  3. Step 3: Cross multiply
    468,253.14x = 646,188.56 × 264,346.98
  4. Step 4: Simplify right side
    468,253.14x = 170,817,994,346.55
  5. Step 5: Solve for x
    x = 170,817,994,346.55/468,253.14
  6. Step 6: Final answer
    x = 364,798.40

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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.