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Finding the Fourth Proportional to 452,332.80, 678,758.40 and 172,051.20

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Solution

The fourth proportional to 452,332.80, 678,758.40 and 172,051.20 is: 258,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,332.80 : 678,758.40 = 172,051.20 : x
  2. Step 2: Convert to fraction form
    452,332.80/678,758.40 = 172,051.20/x
  3. Step 3: Cross multiply
    452,332.80x = 678,758.40 × 172,051.20
  4. Step 4: Simplify right side
    452,332.80x = 116,781,197,230.08
  5. Step 5: Solve for x
    x = 116,781,197,230.08/452,332.80
  6. Step 6: Final answer
    x = 258,175.39

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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.