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Finding the Fourth Proportional to 341,641.92, 471,328.56 and 214,271.04

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Solution

The fourth proportional to 341,641.92, 471,328.56 and 214,271.04 is: 295,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,641.92 : 471,328.56 = 214,271.04 : x
  2. Step 2: Convert to fraction form
    341,641.92/471,328.56 = 214,271.04/x
  3. Step 3: Cross multiply
    341,641.92x = 471,328.56 × 214,271.04
  4. Step 4: Simplify right side
    341,641.92x = 100,992,060,732.90
  5. Step 5: Solve for x
    x = 100,992,060,732.90/341,641.92
  6. Step 6: Final answer
    x = 295,607.93

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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.