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Finding the Fourth Proportional to 459,967.40, 689,700.68 and 160,367.40

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Solution

The fourth proportional to 459,967.40, 689,700.68 and 160,367.40 is: 240,463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,967.40 : 689,700.68 = 160,367.40 : x
  2. Step 2: Convert to fraction form
    459,967.40/689,700.68 = 160,367.40/x
  3. Step 3: Cross multiply
    459,967.40x = 689,700.68 × 160,367.40
  4. Step 4: Simplify right side
    459,967.40x = 110,605,504,829.83
  5. Step 5: Solve for x
    x = 110,605,504,829.83/459,967.40
  6. Step 6: Final answer
    x = 240,463.79

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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.