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Finding the Fourth Proportional to 407,097.81, 610,648.29 and 170,274.36

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Solution

The fourth proportional to 407,097.81, 610,648.29 and 170,274.36 is: 255,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,097.81 : 610,648.29 = 170,274.36 : x
  2. Step 2: Convert to fraction form
    407,097.81/610,648.29 = 170,274.36/x
  3. Step 3: Cross multiply
    407,097.81x = 610,648.29 × 170,274.36
  4. Step 4: Simplify right side
    407,097.81x = 103,977,746,764.84
  5. Step 5: Solve for x
    x = 103,977,746,764.84/407,097.81
  6. Step 6: Final answer
    x = 255,412.20

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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.