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Finding the Fourth Proportional to 284,880.40, 427,627.80 and 160,464.40

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Solution

The fourth proportional to 284,880.40, 427,627.80 and 160,464.40 is: 240,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,880.40 : 427,627.80 = 160,464.40 : x
  2. Step 2: Convert to fraction form
    284,880.40/427,627.80 = 160,464.40/x
  3. Step 3: Cross multiply
    284,880.40x = 427,627.80 × 160,464.40
  4. Step 4: Simplify right side
    284,880.40x = 68,619,038,350.32
  5. Step 5: Solve for x
    x = 68,619,038,350.32/284,880.40
  6. Step 6: Final answer
    x = 240,869.64

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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.