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Finding the Fourth Proportional to 358,810.70, 538,228.35 and 190,102.82

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Solution

The fourth proportional to 358,810.70, 538,228.35 and 190,102.82 is: 285,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,810.70 : 538,228.35 = 190,102.82 : x
  2. Step 2: Convert to fraction form
    358,810.70/538,228.35 = 190,102.82/x
  3. Step 3: Cross multiply
    358,810.70x = 538,228.35 × 190,102.82
  4. Step 4: Simplify right side
    358,810.70x = 102,318,724,447.81
  5. Step 5: Solve for x
    x = 102,318,724,447.81/358,810.70
  6. Step 6: Final answer
    x = 285,160.74

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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.