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Finding the Fourth Proportional to 289,746.40, 434,619.60 and 219,762.40

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Solution

The fourth proportional to 289,746.40, 434,619.60 and 219,762.40 is: 329,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,746.40 : 434,619.60 = 219,762.40 : x
  2. Step 2: Convert to fraction form
    289,746.40/434,619.60 = 219,762.40/x
  3. Step 3: Cross multiply
    289,746.40x = 434,619.60 × 219,762.40
  4. Step 4: Simplify right side
    289,746.40x = 95,513,046,383.04
  5. Step 5: Solve for x
    x = 95,513,046,383.04/289,746.40
  6. Step 6: Final answer
    x = 329,643.60

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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.