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Finding the Fourth Proportional to 475,307.22, 713,040.12 and 175,788.48

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Solution

The fourth proportional to 475,307.22, 713,040.12 and 175,788.48 is: 263,712.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,307.22 : 713,040.12 = 175,788.48 : x
  2. Step 2: Convert to fraction form
    475,307.22/713,040.12 = 175,788.48/x
  3. Step 3: Cross multiply
    475,307.22x = 713,040.12 × 175,788.48
  4. Step 4: Simplify right side
    475,307.22x = 125,344,238,873.82
  5. Step 5: Solve for x
    x = 125,344,238,873.82/475,307.22
  6. Step 6: Final answer
    x = 263,712.04

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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.