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Finding the Fourth Proportional to 289,097.40, 434,682.90 and 243,478.20

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Solution

The fourth proportional to 289,097.40, 434,682.90 and 243,478.20 is: 366,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,097.40 : 434,682.90 = 243,478.20 : x
  2. Step 2: Convert to fraction form
    289,097.40/434,682.90 = 243,478.20/x
  3. Step 3: Cross multiply
    289,097.40x = 434,682.90 × 243,478.20
  4. Step 4: Simplify right side
    289,097.40x = 105,835,810,062.78
  5. Step 5: Solve for x
    x = 105,835,810,062.78/289,097.40
  6. Step 6: Final answer
    x = 366,090.49

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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.