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Finding the Fourth Proportional to 473,070.46, 709,222.56 and 322,932.64

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Solution

The fourth proportional to 473,070.46, 709,222.56 and 322,932.64 is: 484,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,070.46 : 709,222.56 = 322,932.64 : x
  2. Step 2: Convert to fraction form
    473,070.46/709,222.56 = 322,932.64/x
  3. Step 3: Cross multiply
    473,070.46x = 709,222.56 × 322,932.64
  4. Step 4: Simplify right side
    473,070.46x = 229,031,113,648.36
  5. Step 5: Solve for x
    x = 229,031,113,648.36/473,070.46
  6. Step 6: Final answer
    x = 484,137.42

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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.