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Finding the Fourth Proportional to 286,594.96, 429,233.32 and 166,354.12

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Solution

The fourth proportional to 286,594.96, 429,233.32 and 166,354.12 is: 249,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,594.96 : 429,233.32 = 166,354.12 : x
  2. Step 2: Convert to fraction form
    286,594.96/429,233.32 = 166,354.12/x
  3. Step 3: Cross multiply
    286,594.96x = 429,233.32 × 166,354.12
  4. Step 4: Simplify right side
    286,594.96x = 71,404,731,223.28
  5. Step 5: Solve for x
    x = 71,404,731,223.28/286,594.96
  6. Step 6: Final answer
    x = 249,148.59

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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.