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Finding the Fourth Proportional to 467,564.40, 701,346.60 and 152,053.20

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Solution

The fourth proportional to 467,564.40, 701,346.60 and 152,053.20 is: 228,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,564.40 : 701,346.60 = 152,053.20 : x
  2. Step 2: Convert to fraction form
    467,564.40/701,346.60 = 152,053.20/x
  3. Step 3: Cross multiply
    467,564.40x = 701,346.60 × 152,053.20
  4. Step 4: Simplify right side
    467,564.40x = 106,641,994,839.12
  5. Step 5: Solve for x
    x = 106,641,994,839.12/467,564.40
  6. Step 6: Final answer
    x = 228,079.80

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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.