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Finding the Fourth Proportional to 284,779.26, 427,168.35 and 116,378.64

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Solution

The fourth proportional to 284,779.26, 427,168.35 and 116,378.64 is: 174,567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,779.26 : 427,168.35 = 116,378.64 : x
  2. Step 2: Convert to fraction form
    284,779.26/427,168.35 = 116,378.64/x
  3. Step 3: Cross multiply
    284,779.26x = 427,168.35 × 116,378.64
  4. Step 4: Simplify right side
    284,779.26x = 49,713,271,624.04
  5. Step 5: Solve for x
    x = 49,713,271,624.04/284,779.26
  6. Step 6: Final answer
    x = 174,567.74

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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.