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Finding the Fourth Proportional to 286,312.89, 429,453.54 and 117,790.57

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Solution

The fourth proportional to 286,312.89, 429,453.54 and 117,790.57 is: 176,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,312.89 : 429,453.54 = 117,790.57 : x
  2. Step 2: Convert to fraction form
    286,312.89/429,453.54 = 117,790.57/x
  3. Step 3: Cross multiply
    286,312.89x = 429,453.54 × 117,790.57
  4. Step 4: Simplify right side
    286,312.89x = 50,585,576,191.48
  5. Step 5: Solve for x
    x = 50,585,576,191.48/286,312.89
  6. Step 6: Final answer
    x = 176,679.35

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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.