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Finding the Fourth Proportional to 289,814.60, 434,721.90 and 264,931.40

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Solution

The fourth proportional to 289,814.60, 434,721.90 and 264,931.40 is: 397,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,814.60 : 434,721.90 = 264,931.40 : x
  2. Step 2: Convert to fraction form
    289,814.60/434,721.90 = 264,931.40/x
  3. Step 3: Cross multiply
    289,814.60x = 434,721.90 × 264,931.40
  4. Step 4: Simplify right side
    289,814.60x = 115,171,481,577.66
  5. Step 5: Solve for x
    x = 115,171,481,577.66/289,814.60
  6. Step 6: Final answer
    x = 397,397.10

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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.