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Finding the Fourth Proportional to 295,261, 407,482.08 and 167,977.60

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Solution

The fourth proportional to 295,261, 407,482.08 and 167,977.60 is: 231,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,261 : 407,482.08 = 167,977.60 : x
  2. Step 2: Convert to fraction form
    295,261/407,482.08 = 167,977.60/x
  3. Step 3: Cross multiply
    295,261x = 407,482.08 × 167,977.60
  4. Step 4: Simplify right side
    295,261x = 68,447,861,841.41
  5. Step 5: Solve for x
    x = 68,447,861,841.41/295,261
  6. Step 6: Final answer
    x = 231,821.55

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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.