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Finding the Fourth Proportional to 474,287.97, 711,712.02 and 174,977.58

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Solution

The fourth proportional to 474,287.97, 711,712.02 and 174,977.58 is: 262,569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,287.97 : 711,712.02 = 174,977.58 : x
  2. Step 2: Convert to fraction form
    474,287.97/711,712.02 = 174,977.58/x
  3. Step 3: Cross multiply
    474,287.97x = 711,712.02 × 174,977.58
  4. Step 4: Simplify right side
    474,287.97x = 124,533,646,916.51
  5. Step 5: Solve for x
    x = 124,533,646,916.51/474,287.97
  6. Step 6: Final answer
    x = 262,569.69

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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.