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Finding the Fourth Proportional to 433,323.05, 650,211.21 and 177,345.64

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Solution

The fourth proportional to 433,323.05, 650,211.21 and 177,345.64 is: 266,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,323.05 : 650,211.21 = 177,345.64 : x
  2. Step 2: Convert to fraction form
    433,323.05/650,211.21 = 177,345.64/x
  3. Step 3: Cross multiply
    433,323.05x = 650,211.21 × 177,345.64
  4. Step 4: Simplify right side
    433,323.05x = 115,312,119,921.57
  5. Step 5: Solve for x
    x = 115,312,119,921.57/433,323.05
  6. Step 6: Final answer
    x = 266,111.21

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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.