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Finding the Fourth Proportional to 585,356.29, 878,034.53 and 164,632.16

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Solution

The fourth proportional to 585,356.29, 878,034.53 and 164,632.16 is: 246,948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,356.29 : 878,034.53 = 164,632.16 : x
  2. Step 2: Convert to fraction form
    585,356.29/878,034.53 = 164,632.16/x
  3. Step 3: Cross multiply
    585,356.29x = 878,034.53 × 164,632.16
  4. Step 4: Simplify right side
    585,356.29x = 144,552,723,835.15
  5. Step 5: Solve for x
    x = 144,552,723,835.15/585,356.29
  6. Step 6: Final answer
    x = 246,948.27

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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.