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Finding the Fourth Proportional to 310,242.35, 464,969.87 and 160,454.72

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Solution

The fourth proportional to 310,242.35, 464,969.87 and 160,454.72 is: 240,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,242.35 : 464,969.87 = 160,454.72 : x
  2. Step 2: Convert to fraction form
    310,242.35/464,969.87 = 160,454.72/x
  3. Step 3: Cross multiply
    310,242.35x = 464,969.87 × 160,454.72
  4. Step 4: Simplify right side
    310,242.35x = 74,606,611,261.14
  5. Step 5: Solve for x
    x = 74,606,611,261.14/310,242.35
  6. Step 6: Final answer
    x = 240,478.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.