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Finding the Fourth Proportional to 459,770.90, 689,973.48 and 160,253.96

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Solution

The fourth proportional to 459,770.90, 689,973.48 and 160,253.96 is: 240,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,770.90 : 689,973.48 = 160,253.96 : x
  2. Step 2: Convert to fraction form
    459,770.90/689,973.48 = 160,253.96/x
  3. Step 3: Cross multiply
    459,770.90x = 689,973.48 × 160,253.96
  4. Step 4: Simplify right side
    459,770.90x = 110,570,979,015.11
  5. Step 5: Solve for x
    x = 110,570,979,015.11/459,770.90
  6. Step 6: Final answer
    x = 240,491.47

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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.