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Finding the Fourth Proportional to 585,693.11, 877,537.02 and 319,640.51

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Solution

The fourth proportional to 585,693.11, 877,537.02 and 319,640.51 is: 478,913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,693.11 : 877,537.02 = 319,640.51 : x
  2. Step 2: Convert to fraction form
    585,693.11/877,537.02 = 319,640.51/x
  3. Step 3: Cross multiply
    585,693.11x = 877,537.02 × 319,640.51
  4. Step 4: Simplify right side
    585,693.11x = 280,496,380,616.68
  5. Step 5: Solve for x
    x = 280,496,380,616.68/585,693.11
  6. Step 6: Final answer
    x = 478,913.57

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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.