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Finding the Fourth Proportional to 497,016, 745,541.28 and 164,583.36

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Solution

The fourth proportional to 497,016, 745,541.28 and 164,583.36 is: 246,880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,016 : 745,541.28 = 164,583.36 : x
  2. Step 2: Convert to fraction form
    497,016/745,541.28 = 164,583.36/x
  3. Step 3: Cross multiply
    497,016x = 745,541.28 × 164,583.36
  4. Step 4: Simplify right side
    497,016x = 122,703,688,881.10
  5. Step 5: Solve for x
    x = 122,703,688,881.10/497,016
  6. Step 6: Final answer
    x = 246,880.76

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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.