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Finding the Fourth Proportional to 354,465.60, 531,698.40 and 117,844.80

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Solution

The fourth proportional to 354,465.60, 531,698.40 and 117,844.80 is: 176,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,465.60 : 531,698.40 = 117,844.80 : x
  2. Step 2: Convert to fraction form
    354,465.60/531,698.40 = 117,844.80/x
  3. Step 3: Cross multiply
    354,465.60x = 531,698.40 × 117,844.80
  4. Step 4: Simplify right side
    354,465.60x = 62,657,891,608.32
  5. Step 5: Solve for x
    x = 62,657,891,608.32/354,465.60
  6. Step 6: Final answer
    x = 176,767.20

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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.