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Finding the Fourth Proportional to 288,289.12, 397,580.88 and 180,870.88

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Solution

The fourth proportional to 288,289.12, 397,580.88 and 180,870.88 is: 249,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,289.12 : 397,580.88 = 180,870.88 : x
  2. Step 2: Convert to fraction form
    288,289.12/397,580.88 = 180,870.88/x
  3. Step 3: Cross multiply
    288,289.12x = 397,580.88 × 180,870.88
  4. Step 4: Simplify right side
    288,289.12x = 71,910,803,636.77
  5. Step 5: Solve for x
    x = 71,910,803,636.77/288,289.12
  6. Step 6: Final answer
    x = 249,439.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.