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Finding the Fourth Proportional to 424,460.75, 586,595.93 and 347,859.05

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Solution

The fourth proportional to 424,460.75, 586,595.93 and 347,859.05 is: 480,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,460.75 : 586,595.93 = 347,859.05 : x
  2. Step 2: Convert to fraction form
    424,460.75/586,595.93 = 347,859.05/x
  3. Step 3: Cross multiply
    424,460.75x = 586,595.93 × 347,859.05
  4. Step 4: Simplify right side
    424,460.75x = 204,052,698,271.39
  5. Step 5: Solve for x
    x = 204,052,698,271.39/424,460.75
  6. Step 6: Final answer
    x = 480,733.97

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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.