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Finding the Fourth Proportional to 531,165.40, 796,746.98 and 166,455

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Solution

The fourth proportional to 531,165.40, 796,746.98 and 166,455 is: 249,682.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,165.40 : 796,746.98 = 166,455 : x
  2. Step 2: Convert to fraction form
    531,165.40/796,746.98 = 166,455/x
  3. Step 3: Cross multiply
    531,165.40x = 796,746.98 × 166,455
  4. Step 4: Simplify right side
    531,165.40x = 132,622,518,972.04
  5. Step 5: Solve for x
    x = 132,622,518,972.04/531,165.40
  6. Step 6: Final answer
    x = 249,682.15

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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.