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Finding the Fourth Proportional to 452,457.97, 678,689.01 and 152,940.15

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Solution

The fourth proportional to 452,457.97, 678,689.01 and 152,940.15 is: 229,410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,457.97 : 678,689.01 = 152,940.15 : x
  2. Step 2: Convert to fraction form
    452,457.97/678,689.01 = 152,940.15/x
  3. Step 3: Cross multiply
    452,457.97x = 678,689.01 × 152,940.15
  4. Step 4: Simplify right side
    452,457.97x = 103,798,798,992.75
  5. Step 5: Solve for x
    x = 103,798,798,992.75/452,457.97
  6. Step 6: Final answer
    x = 229,410.92

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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.