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Finding the Fourth Proportional to 459,722.60, 689,972.70 and 207,391.40

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Solution

The fourth proportional to 459,722.60, 689,972.70 and 207,391.40 is: 311,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,722.60 : 689,972.70 = 207,391.40 : x
  2. Step 2: Convert to fraction form
    459,722.60/689,972.70 = 207,391.40/x
  3. Step 3: Cross multiply
    459,722.60x = 689,972.70 × 207,391.40
  4. Step 4: Simplify right side
    459,722.60x = 143,094,404,214.78
  5. Step 5: Solve for x
    x = 143,094,404,214.78/459,722.60
  6. Step 6: Final answer
    x = 311,262.50

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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.