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Finding the Fourth Proportional to 457,866.96, 631,830.60 and 266,911.44

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Solution

The fourth proportional to 457,866.96, 631,830.60 and 266,911.44 is: 368,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,866.96 : 631,830.60 = 266,911.44 : x
  2. Step 2: Convert to fraction form
    457,866.96/631,830.60 = 266,911.44/x
  3. Step 3: Cross multiply
    457,866.96x = 631,830.60 × 266,911.44
  4. Step 4: Simplify right side
    457,866.96x = 168,642,815,282.06
  5. Step 5: Solve for x
    x = 168,642,815,282.06/457,866.96
  6. Step 6: Final answer
    x = 368,322.74

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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.