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Finding the Fourth Proportional to 288,002.80, 432,004.20 and 147,775.60

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Solution

The fourth proportional to 288,002.80, 432,004.20 and 147,775.60 is: 221,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,002.80 : 432,004.20 = 147,775.60 : x
  2. Step 2: Convert to fraction form
    288,002.80/432,004.20 = 147,775.60/x
  3. Step 3: Cross multiply
    288,002.80x = 432,004.20 × 147,775.60
  4. Step 4: Simplify right side
    288,002.80x = 63,839,679,857.52
  5. Step 5: Solve for x
    x = 63,839,679,857.52/288,002.80
  6. Step 6: Final answer
    x = 221,663.40

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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.