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Finding the Fourth Proportional to 433,467.90, 650,201.85 and 152,948.70

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Solution

The fourth proportional to 433,467.90, 650,201.85 and 152,948.70 is: 229,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,467.90 : 650,201.85 = 152,948.70 : x
  2. Step 2: Convert to fraction form
    433,467.90/650,201.85 = 152,948.70/x
  3. Step 3: Cross multiply
    433,467.90x = 650,201.85 × 152,948.70
  4. Step 4: Simplify right side
    433,467.90x = 99,447,527,695.10
  5. Step 5: Solve for x
    x = 99,447,527,695.10/433,467.90
  6. Step 6: Final answer
    x = 229,423.05

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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.