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Finding the Fourth Proportional to 412,326.05, 617,960.54 and 358,795.58

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Solution

The fourth proportional to 412,326.05, 617,960.54 and 358,795.58 is: 537,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,326.05 : 617,960.54 = 358,795.58 : x
  2. Step 2: Convert to fraction form
    412,326.05/617,960.54 = 358,795.58/x
  3. Step 3: Cross multiply
    412,326.05x = 617,960.54 × 358,795.58
  4. Step 4: Simplify right side
    412,326.05x = 221,721,508,173.60
  5. Step 5: Solve for x
    x = 221,721,508,173.60/412,326.05
  6. Step 6: Final answer
    x = 537,733.45

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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.