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Finding the Fourth Proportional to 404,947.12, 608,044.93 and 342,586.63

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Solution

The fourth proportional to 404,947.12, 608,044.93 and 342,586.63 is: 514,408.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,947.12 : 608,044.93 = 342,586.63 : x
  2. Step 2: Convert to fraction form
    404,947.12/608,044.93 = 342,586.63/x
  3. Step 3: Cross multiply
    404,947.12x = 608,044.93 × 342,586.63
  4. Step 4: Simplify right side
    404,947.12x = 208,308,063,457.29
  5. Step 5: Solve for x
    x = 208,308,063,457.29/404,947.12
  6. Step 6: Final answer
    x = 514,408.06

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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.