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Finding the Fourth Proportional to 364,458.15, 546,686.96 and 195,746.22

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Solution

The fourth proportional to 364,458.15, 546,686.96 and 195,746.22 is: 293,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,458.15 : 546,686.96 = 195,746.22 : x
  2. Step 2: Convert to fraction form
    364,458.15/546,686.96 = 195,746.22/x
  3. Step 3: Cross multiply
    364,458.15x = 546,686.96 × 195,746.22
  4. Step 4: Simplify right side
    364,458.15x = 107,011,904,964.56
  5. Step 5: Solve for x
    x = 107,011,904,964.56/364,458.15
  6. Step 6: Final answer
    x = 293,619.18

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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.