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Finding the Fourth Proportional to 614,709.84, 848,295.92 and 342,780.96

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Solution

The fourth proportional to 614,709.84, 848,295.92 and 342,780.96 is: 473,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,709.84 : 848,295.92 = 342,780.96 : x
  2. Step 2: Convert to fraction form
    614,709.84/848,295.92 = 342,780.96/x
  3. Step 3: Cross multiply
    614,709.84x = 848,295.92 × 342,780.96
  4. Step 4: Simplify right side
    614,709.84x = 290,779,689,821.68
  5. Step 5: Solve for x
    x = 290,779,689,821.68/614,709.84
  6. Step 6: Final answer
    x = 473,035.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.