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Finding the Fourth Proportional to 403,271.40, 604,907.10 and 166,783.80

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Solution

The fourth proportional to 403,271.40, 604,907.10 and 166,783.80 is: 250,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,271.40 : 604,907.10 = 166,783.80 : x
  2. Step 2: Convert to fraction form
    403,271.40/604,907.10 = 166,783.80/x
  3. Step 3: Cross multiply
    403,271.40x = 604,907.10 × 166,783.80
  4. Step 4: Simplify right side
    403,271.40x = 100,888,704,784.98
  5. Step 5: Solve for x
    x = 100,888,704,784.98/403,271.40
  6. Step 6: Final answer
    x = 250,175.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.