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Finding the Fourth Proportional to 364,175.84, 546,244.32 and 139,643.84

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Solution

The fourth proportional to 364,175.84, 546,244.32 and 139,643.84 is: 209,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,175.84 : 546,244.32 = 139,643.84 : x
  2. Step 2: Convert to fraction form
    364,175.84/546,244.32 = 139,643.84/x
  3. Step 3: Cross multiply
    364,175.84x = 546,244.32 × 139,643.84
  4. Step 4: Simplify right side
    364,175.84x = 76,279,654,422.99
  5. Step 5: Solve for x
    x = 76,279,654,422.99/364,175.84
  6. Step 6: Final answer
    x = 209,458.31

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1.5x scale

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.