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Finding the Fourth Proportional to 286,779.42, 429,162.30 and 235,582.56

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Solution

The fourth proportional to 286,779.42, 429,162.30 and 235,582.56 is: 352,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,779.42 : 429,162.30 = 235,582.56 : x
  2. Step 2: Convert to fraction form
    286,779.42/429,162.30 = 235,582.56/x
  3. Step 3: Cross multiply
    286,779.42x = 429,162.30 × 235,582.56
  4. Step 4: Simplify right side
    286,779.42x = 101,103,153,289.49
  5. Step 5: Solve for x
    x = 101,103,153,289.49/286,779.42
  6. Step 6: Final answer
    x = 352,546.75

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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.