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Finding the Fourth Proportional to 364,564.80, 546,458.40 and 139,838.40

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Solution

The fourth proportional to 364,564.80, 546,458.40 and 139,838.40 is: 209,608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,564.80 : 546,458.40 = 139,838.40 : x
  2. Step 2: Convert to fraction form
    364,564.80/546,458.40 = 139,838.40/x
  3. Step 3: Cross multiply
    364,564.80x = 546,458.40 × 139,838.40
  4. Step 4: Simplify right side
    364,564.80x = 76,415,868,322.56
  5. Step 5: Solve for x
    x = 76,415,868,322.56/364,564.80
  6. Step 6: Final answer
    x = 209,608.47

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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.