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Finding the Fourth Proportional to 452,460.31, 678,777.94 and 171,955.69

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Solution

The fourth proportional to 452,460.31, 678,777.94 and 171,955.69 is: 257,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,460.31 : 678,777.94 = 171,955.69 : x
  2. Step 2: Convert to fraction form
    452,460.31/678,777.94 = 171,955.69/x
  3. Step 3: Cross multiply
    452,460.31x = 678,777.94 × 171,955.69
  4. Step 4: Simplify right side
    452,460.31x = 116,719,727,547.48
  5. Step 5: Solve for x
    x = 116,719,727,547.48/452,460.31
  6. Step 6: Final answer
    x = 257,966.78

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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.