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Finding the Fourth Proportional to 284,944.59, 427,417.39 and 116,464.77

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Solution

The fourth proportional to 284,944.59, 427,417.39 and 116,464.77 is: 174,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,944.59 : 427,417.39 = 116,464.77 : x
  2. Step 2: Convert to fraction form
    284,944.59/427,417.39 = 116,464.77/x
  3. Step 3: Cross multiply
    284,944.59x = 427,417.39 × 116,464.77
  4. Step 4: Simplify right side
    284,944.59x = 49,779,067,510.82
  5. Step 5: Solve for x
    x = 49,779,067,510.82/284,944.59
  6. Step 6: Final answer
    x = 174,697.36

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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.