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Finding the Fourth Proportional to 433,261.71, 649,706.67 and 148,980.87

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Solution

The fourth proportional to 433,261.71, 649,706.67 and 148,980.87 is: 223,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,261.71 : 649,706.67 = 148,980.87 : x
  2. Step 2: Convert to fraction form
    433,261.71/649,706.67 = 148,980.87/x
  3. Step 3: Cross multiply
    433,261.71x = 649,706.67 × 148,980.87
  4. Step 4: Simplify right side
    433,261.71x = 96,793,864,941.40
  5. Step 5: Solve for x
    x = 96,793,864,941.40/433,261.71
  6. Step 6: Final answer
    x = 223,407.38

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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.