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Finding the Fourth Proportional to 459,743.69, 689,675.80 and 151,893.40

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Solution

The fourth proportional to 459,743.69, 689,675.80 and 151,893.40 is: 227,860.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,743.69 : 689,675.80 = 151,893.40 : x
  2. Step 2: Convert to fraction form
    459,743.69/689,675.80 = 151,893.40/x
  3. Step 3: Cross multiply
    459,743.69x = 689,675.80 × 151,893.40
  4. Step 4: Simplify right side
    459,743.69x = 104,757,200,023.08
  5. Step 5: Solve for x
    x = 104,757,200,023.08/459,743.69
  6. Step 6: Final answer
    x = 227,860.00

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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.