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Finding the Fourth Proportional to 354,503.20, 531,803.40 and 117,821.20

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Solution

The fourth proportional to 354,503.20, 531,803.40 and 117,821.20 is: 176,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,503.20 : 531,803.40 = 117,821.20 : x
  2. Step 2: Convert to fraction form
    354,503.20/531,803.40 = 117,821.20/x
  3. Step 3: Cross multiply
    354,503.20x = 531,803.40 × 117,821.20
  4. Step 4: Simplify right side
    354,503.20x = 62,657,714,752.08
  5. Step 5: Solve for x
    x = 62,657,714,752.08/354,503.20
  6. Step 6: Final answer
    x = 176,747.95

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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.