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Finding the Fourth Proportional to 294,779.59, 442,262.84 and 105,235.88

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Solution

The fourth proportional to 294,779.59, 442,262.84 and 105,235.88 is: 157,887.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,779.59 : 442,262.84 = 105,235.88 : x
  2. Step 2: Convert to fraction form
    294,779.59/442,262.84 = 105,235.88/x
  3. Step 3: Cross multiply
    294,779.59x = 442,262.84 × 105,235.88
  4. Step 4: Simplify right side
    294,779.59x = 46,541,916,421.21
  5. Step 5: Solve for x
    x = 46,541,916,421.21/294,779.59
  6. Step 6: Final answer
    x = 157,887.18

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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.