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Finding the Fourth Proportional to 467,897.64, 701,941.20 and 152,269.80

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Solution

The fourth proportional to 467,897.64, 701,941.20 and 152,269.80 is: 228,435.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,897.64 : 701,941.20 = 152,269.80 : x
  2. Step 2: Convert to fraction form
    467,897.64/701,941.20 = 152,269.80/x
  3. Step 3: Cross multiply
    467,897.64x = 701,941.20 × 152,269.80
  4. Step 4: Simplify right side
    467,897.64x = 106,884,446,135.76
  5. Step 5: Solve for x
    x = 106,884,446,135.76/467,897.64
  6. Step 6: Final answer
    x = 228,435.53

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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.