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Finding the Fourth Proportional to 415,020.09, 571,523.81 and 360,547.59

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Solution

The fourth proportional to 415,020.09, 571,523.81 and 360,547.59 is: 496,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,020.09 : 571,523.81 = 360,547.59 : x
  2. Step 2: Convert to fraction form
    415,020.09/571,523.81 = 360,547.59/x
  3. Step 3: Cross multiply
    415,020.09x = 571,523.81 × 360,547.59
  4. Step 4: Simplify right side
    415,020.09x = 206,061,530,520.38
  5. Step 5: Solve for x
    x = 206,061,530,520.38/415,020.09
  6. Step 6: Final answer
    x = 496,509.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.