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Finding the Fourth Proportional to 402,193.20, 603,289.80 and 260,475.60

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Solution

The fourth proportional to 402,193.20, 603,289.80 and 260,475.60 is: 390,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,193.20 : 603,289.80 = 260,475.60 : x
  2. Step 2: Convert to fraction form
    402,193.20/603,289.80 = 260,475.60/x
  3. Step 3: Cross multiply
    402,193.20x = 603,289.80 × 260,475.60
  4. Step 4: Simplify right side
    402,193.20x = 157,142,272,628.88
  5. Step 5: Solve for x
    x = 157,142,272,628.88/402,193.20
  6. Step 6: Final answer
    x = 390,713.40

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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.