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Finding the Fourth Proportional to 452,602.16, 678,990.64 and 172,097.52

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Solution

The fourth proportional to 452,602.16, 678,990.64 and 172,097.52 is: 258,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,602.16 : 678,990.64 = 172,097.52 : x
  2. Step 2: Convert to fraction form
    452,602.16/678,990.64 = 172,097.52/x
  3. Step 3: Cross multiply
    452,602.16x = 678,990.64 × 172,097.52
  4. Step 4: Simplify right side
    452,602.16x = 116,852,605,247.21
  5. Step 5: Solve for x
    x = 116,852,605,247.21/452,602.16
  6. Step 6: Final answer
    x = 258,179.51

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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.