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Finding the Fourth Proportional to 286,513.89, 429,816.33 and 94,328.43

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Solution

The fourth proportional to 286,513.89, 429,816.33 and 94,328.43 is: 141,507.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,513.89 : 429,816.33 = 94,328.43 : x
  2. Step 2: Convert to fraction form
    286,513.89/429,816.33 = 94,328.43/x
  3. Step 3: Cross multiply
    286,513.89x = 429,816.33 × 94,328.43
  4. Step 4: Simplify right side
    286,513.89x = 40,543,899,597.26
  5. Step 5: Solve for x
    x = 40,543,899,597.26/286,513.89
  6. Step 6: Final answer
    x = 141,507.62

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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.