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Finding the Fourth Proportional to 288,043.20, 432,064.80 and 177,297.60

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Solution

The fourth proportional to 288,043.20, 432,064.80 and 177,297.60 is: 265,946.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,043.20 : 432,064.80 = 177,297.60 : x
  2. Step 2: Convert to fraction form
    288,043.20/432,064.80 = 177,297.60/x
  3. Step 3: Cross multiply
    288,043.20x = 432,064.80 × 177,297.60
  4. Step 4: Simplify right side
    288,043.20x = 76,604,052,084.48
  5. Step 5: Solve for x
    x = 76,604,052,084.48/288,043.20
  6. Step 6: Final answer
    x = 265,946.40

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1.5x scale

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.