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Finding the Fourth Proportional to 310,464.41, 465,307.05 and 132,762.47

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Solution

The fourth proportional to 310,464.41, 465,307.05 and 132,762.47 is: 198,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,464.41 : 465,307.05 = 132,762.47 : x
  2. Step 2: Convert to fraction form
    310,464.41/465,307.05 = 132,762.47/x
  3. Step 3: Cross multiply
    310,464.41x = 465,307.05 × 132,762.47
  4. Step 4: Simplify right side
    310,464.41x = 61,775,310,939.88
  5. Step 5: Solve for x
    x = 61,775,310,939.88/310,464.41
  6. Step 6: Final answer
    x = 198,977.11

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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.