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Finding the Fourth Proportional to 476,200.44, 657,164.64 and 261,360.50

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Solution

The fourth proportional to 476,200.44, 657,164.64 and 261,360.50 is: 360,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,200.44 : 657,164.64 = 261,360.50 : x
  2. Step 2: Convert to fraction form
    476,200.44/657,164.64 = 261,360.50/x
  3. Step 3: Cross multiply
    476,200.44x = 657,164.64 × 261,360.50
  4. Step 4: Simplify right side
    476,200.44x = 171,756,878,892.72
  5. Step 5: Solve for x
    x = 171,756,878,892.72/476,200.44
  6. Step 6: Final answer
    x = 360,681.90

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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.