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Finding the Fourth Proportional to 314,726.37, 472,501.10 and 186,876.10

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Solution

The fourth proportional to 314,726.37, 472,501.10 and 186,876.10 is: 280,558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,726.37 : 472,501.10 = 186,876.10 : x
  2. Step 2: Convert to fraction form
    314,726.37/472,501.10 = 186,876.10/x
  3. Step 3: Cross multiply
    314,726.37x = 472,501.10 × 186,876.10
  4. Step 4: Simplify right side
    314,726.37x = 88,299,162,813.71
  5. Step 5: Solve for x
    x = 88,299,162,813.71/314,726.37
  6. Step 6: Final answer
    x = 280,558.51

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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.