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Finding the Fourth Proportional to 585,302.13, 877,953.56 and 164,578.01

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Solution

The fourth proportional to 585,302.13, 877,953.56 and 164,578.01 is: 246,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,302.13 : 877,953.56 = 164,578.01 : x
  2. Step 2: Convert to fraction form
    585,302.13/877,953.56 = 164,578.01/x
  3. Step 3: Cross multiply
    585,302.13x = 877,953.56 × 164,578.01
  4. Step 4: Simplify right side
    585,302.13x = 144,491,844,564.56
  5. Step 5: Solve for x
    x = 144,491,844,564.56/585,302.13
  6. Step 6: Final answer
    x = 246,867.11

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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.