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Finding the Fourth Proportional to 540,106.74, 745,324.61 and 310,646.70

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Solution

The fourth proportional to 540,106.74, 745,324.61 and 310,646.70 is: 428,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,106.74 : 745,324.61 = 310,646.70 : x
  2. Step 2: Convert to fraction form
    540,106.74/745,324.61 = 310,646.70/x
  3. Step 3: Cross multiply
    540,106.74x = 745,324.61 × 310,646.70
  4. Step 4: Simplify right side
    540,106.74x = 231,532,628,972.05
  5. Step 5: Solve for x
    x = 231,532,628,972.05/540,106.74
  6. Step 6: Final answer
    x = 428,679.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.