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Finding the Fourth Proportional to 469,564.34, 704,040.30 and 309,154.73

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Solution

The fourth proportional to 469,564.34, 704,040.30 and 309,154.73 is: 463,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,564.34 : 704,040.30 = 309,154.73 : x
  2. Step 2: Convert to fraction form
    469,564.34/704,040.30 = 309,154.73/x
  3. Step 3: Cross multiply
    469,564.34x = 704,040.30 × 309,154.73
  4. Step 4: Simplify right side
    469,564.34x = 217,657,385,335.42
  5. Step 5: Solve for x
    x = 217,657,385,335.42/469,564.34
  6. Step 6: Final answer
    x = 463,530.49

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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.