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Finding the Fourth Proportional to 585,969.40, 878,954.10 and 142,737.40

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Solution

The fourth proportional to 585,969.40, 878,954.10 and 142,737.40 is: 214,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,969.40 : 878,954.10 = 142,737.40 : x
  2. Step 2: Convert to fraction form
    585,969.40/878,954.10 = 142,737.40/x
  3. Step 3: Cross multiply
    585,969.40x = 878,954.10 × 142,737.40
  4. Step 4: Simplify right side
    585,969.40x = 125,459,622,953.34
  5. Step 5: Solve for x
    x = 125,459,622,953.34/585,969.40
  6. Step 6: Final answer
    x = 214,106.10

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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.