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Finding the Fourth Proportional to 412,331.30, 617,968.41 and 358,800.83

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Solution

The fourth proportional to 412,331.30, 617,968.41 and 358,800.83 is: 537,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,331.30 : 617,968.41 = 358,800.83 : x
  2. Step 2: Convert to fraction form
    412,331.30/617,968.41 = 358,800.83/x
  3. Step 3: Cross multiply
    412,331.30x = 617,968.41 × 358,800.83
  4. Step 4: Simplify right side
    412,331.30x = 221,727,578,421.78
  5. Step 5: Solve for x
    x = 221,727,578,421.78/412,331.30
  6. Step 6: Final answer
    x = 537,741.32

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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.