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Finding the Fourth Proportional to 452,602.30, 678,903.35 and 115,643.58

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Solution

The fourth proportional to 452,602.30, 678,903.35 and 115,643.58 is: 173,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,602.30 : 678,903.35 = 115,643.58 : x
  2. Step 2: Convert to fraction form
    452,602.30/678,903.35 = 115,643.58/x
  3. Step 3: Cross multiply
    452,602.30x = 678,903.35 × 115,643.58
  4. Step 4: Simplify right side
    452,602.30x = 78,510,813,289.78
  5. Step 5: Solve for x
    x = 78,510,813,289.78/452,602.30
  6. Step 6: Final answer
    x = 173,465.34

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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.