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Finding the Fourth Proportional to 433,484.88, 650,066 and 149,095.60

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Solution

The fourth proportional to 433,484.88, 650,066 and 149,095.60 is: 223,587.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,484.88 : 650,066 = 149,095.60 : x
  2. Step 2: Convert to fraction form
    433,484.88/650,066 = 149,095.60/x
  3. Step 3: Cross multiply
    433,484.88x = 650,066 × 149,095.60
  4. Step 4: Simplify right side
    433,484.88x = 96,921,980,309.60
  5. Step 5: Solve for x
    x = 96,921,980,309.60/433,484.88
  6. Step 6: Final answer
    x = 223,587.91

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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.