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Finding the Fourth Proportional to 289,762.40, 434,643.60 and 219,778.40

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Solution

The fourth proportional to 289,762.40, 434,643.60 and 219,778.40 is: 329,667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,762.40 : 434,643.60 = 219,778.40 : x
  2. Step 2: Convert to fraction form
    289,762.40/434,643.60 = 219,778.40/x
  3. Step 3: Cross multiply
    289,762.40x = 434,643.60 × 219,778.40
  4. Step 4: Simplify right side
    289,762.40x = 95,525,274,978.24
  5. Step 5: Solve for x
    x = 95,525,274,978.24/289,762.40
  6. Step 6: Final answer
    x = 329,667.60

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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.