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Finding the Fourth Proportional to 459,526.65, 689,559.71 and 193,266.69

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Solution

The fourth proportional to 459,526.65, 689,559.71 and 193,266.69 is: 290,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,526.65 : 689,559.71 = 193,266.69 : x
  2. Step 2: Convert to fraction form
    459,526.65/689,559.71 = 193,266.69/x
  3. Step 3: Cross multiply
    459,526.65x = 689,559.71 × 193,266.69
  4. Step 4: Simplify right side
    459,526.65x = 133,268,921,742.73
  5. Step 5: Solve for x
    x = 133,268,921,742.73/459,526.65
  6. Step 6: Final answer
    x = 290,013.48

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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.