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Finding the Fourth Proportional to 346,206.50, 477,766.41 and 187,230.50

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Solution

The fourth proportional to 346,206.50, 477,766.41 and 187,230.50 is: 258,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,206.50 : 477,766.41 = 187,230.50 : x
  2. Step 2: Convert to fraction form
    346,206.50/477,766.41 = 187,230.50/x
  3. Step 3: Cross multiply
    346,206.50x = 477,766.41 × 187,230.50
  4. Step 4: Simplify right side
    346,206.50x = 89,452,443,827.51
  5. Step 5: Solve for x
    x = 89,452,443,827.51/346,206.50
  6. Step 6: Final answer
    x = 258,378.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.