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Finding the Fourth Proportional to 297,405.84, 410,409 and 170,078.16

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Solution

The fourth proportional to 297,405.84, 410,409 and 170,078.16 is: 234,701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,405.84 : 410,409 = 170,078.16 : x
  2. Step 2: Convert to fraction form
    297,405.84/410,409 = 170,078.16/x
  3. Step 3: Cross multiply
    297,405.84x = 410,409 × 170,078.16
  4. Step 4: Simplify right side
    297,405.84x = 69,801,607,567.44
  5. Step 5: Solve for x
    x = 69,801,607,567.44/297,405.84
  6. Step 6: Final answer
    x = 234,701.54

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1.5x scale

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.