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Finding the Fourth Proportional to 364,400.84, 546,087.44 and 172,070.06

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Solution

The fourth proportional to 364,400.84, 546,087.44 and 172,070.06 is: 257,862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,400.84 : 546,087.44 = 172,070.06 : x
  2. Step 2: Convert to fraction form
    364,400.84/546,087.44 = 172,070.06/x
  3. Step 3: Cross multiply
    364,400.84x = 546,087.44 × 172,070.06
  4. Step 4: Simplify right side
    364,400.84x = 93,965,296,265.78
  5. Step 5: Solve for x
    x = 93,965,296,265.78/364,400.84
  6. Step 6: Final answer
    x = 257,862.46

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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.