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Finding the Fourth Proportional to 288,004.80, 432,007.20 and 147,777.60

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Solution

The fourth proportional to 288,004.80, 432,007.20 and 147,777.60 is: 221,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,004.80 : 432,007.20 = 147,777.60 : x
  2. Step 2: Convert to fraction form
    288,004.80/432,007.20 = 147,777.60/x
  3. Step 3: Cross multiply
    288,004.80x = 432,007.20 × 147,777.60
  4. Step 4: Simplify right side
    288,004.80x = 63,840,987,198.72
  5. Step 5: Solve for x
    x = 63,840,987,198.72/288,004.80
  6. Step 6: Final answer
    x = 221,666.40

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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.