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Finding the Fourth Proportional to 452,602.24, 678,903.25 and 115,643.52

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Solution

The fourth proportional to 452,602.24, 678,903.25 and 115,643.52 is: 173,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,602.24 : 678,903.25 = 115,643.52 : x
  2. Step 2: Convert to fraction form
    452,602.24/678,903.25 = 115,643.52/x
  3. Step 3: Cross multiply
    452,602.24x = 678,903.25 × 115,643.52
  4. Step 4: Simplify right side
    452,602.24x = 78,510,760,016.74
  5. Step 5: Solve for x
    x = 78,510,760,016.74/452,602.24
  6. Step 6: Final answer
    x = 173,465.25

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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.