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Finding the Fourth Proportional to 286,295.59, 429,410.58 and 75,949.93

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Solution

The fourth proportional to 286,295.59, 429,410.58 and 75,949.93 is: 113,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,295.59 : 429,410.58 = 75,949.93 : x
  2. Step 2: Convert to fraction form
    286,295.59/429,410.58 = 75,949.93/x
  3. Step 3: Cross multiply
    286,295.59x = 429,410.58 × 75,949.93
  4. Step 4: Simplify right side
    286,295.59x = 32,613,703,492.26
  5. Step 5: Solve for x
    x = 32,613,703,492.26/286,295.59
  6. Step 6: Final answer
    x = 113,916.19

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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.