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Finding the Fourth Proportional to 232,448.50, 320,415 and 151,835.68

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Solution

The fourth proportional to 232,448.50, 320,415 and 151,835.68 is: 209,295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,448.50 : 320,415 = 151,835.68 : x
  2. Step 2: Convert to fraction form
    232,448.50/320,415 = 151,835.68/x
  3. Step 3: Cross multiply
    232,448.50x = 320,415 × 151,835.68
  4. Step 4: Simplify right side
    232,448.50x = 48,650,429,407.20
  5. Step 5: Solve for x
    x = 48,650,429,407.20/232,448.50
  6. Step 6: Final answer
    x = 209,295.52

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1.5x scale

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.