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Finding the Fourth Proportional to 413,547.60, 620,407.80 and 133,093.20

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Solution

The fourth proportional to 413,547.60, 620,407.80 and 133,093.20 is: 199,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,547.60 : 620,407.80 = 133,093.20 : x
  2. Step 2: Convert to fraction form
    413,547.60/620,407.80 = 133,093.20/x
  3. Step 3: Cross multiply
    413,547.60x = 620,407.80 × 133,093.20
  4. Step 4: Simplify right side
    413,547.60x = 82,572,059,406.96
  5. Step 5: Solve for x
    x = 82,572,059,406.96/413,547.60
  6. Step 6: Final answer
    x = 199,667.61

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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.