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Finding the Fourth Proportional to 314,833.96, 472,390.52 and 165,038.50

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Solution

The fourth proportional to 314,833.96, 472,390.52 and 165,038.50 is: 247,630.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,833.96 : 472,390.52 = 165,038.50 : x
  2. Step 2: Convert to fraction form
    314,833.96/472,390.52 = 165,038.50/x
  3. Step 3: Cross multiply
    314,833.96x = 472,390.52 × 165,038.50
  4. Step 4: Simplify right side
    314,833.96x = 77,962,622,835.02
  5. Step 5: Solve for x
    x = 77,962,622,835.02/314,833.96
  6. Step 6: Final answer
    x = 247,630.92

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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.