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Finding the Fourth Proportional to 783,825, 1,175,798.28 and 244,013.48

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Solution

The fourth proportional to 783,825, 1,175,798.28 and 244,013.48 is: 366,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,825 : 1,175,798.28 = 244,013.48 : x
  2. Step 2: Convert to fraction form
    783,825/1,175,798.28 = 244,013.48/x
  3. Step 3: Cross multiply
    783,825x = 1,175,798.28 × 244,013.48
  4. Step 4: Simplify right side
    783,825x = 286,910,630,080.81
  5. Step 5: Solve for x
    x = 286,910,630,080.81/783,825
  6. Step 6: Final answer
    x = 366,039.14

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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.