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Finding the Fourth Proportional to 585,341.40, 878,012.08 and 164,617.24

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Solution

The fourth proportional to 585,341.40, 878,012.08 and 164,617.24 is: 246,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,341.40 : 878,012.08 = 164,617.24 : x
  2. Step 2: Convert to fraction form
    585,341.40/878,012.08 = 164,617.24/x
  3. Step 3: Cross multiply
    585,341.40x = 878,012.08 × 164,617.24
  4. Step 4: Simplify right side
    585,341.40x = 144,535,925,296.26
  5. Step 5: Solve for x
    x = 144,535,925,296.26/585,341.40
  6. Step 6: Final answer
    x = 246,925.85

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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.