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Finding the Fourth Proportional to 294,543.13, 441,814.70 and 72,927.13

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Solution

The fourth proportional to 294,543.13, 441,814.70 and 72,927.13 is: 109,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,543.13 : 441,814.70 = 72,927.13 : x
  2. Step 2: Convert to fraction form
    294,543.13/441,814.70 = 72,927.13/x
  3. Step 3: Cross multiply
    294,543.13x = 441,814.70 × 72,927.13
  4. Step 4: Simplify right side
    294,543.13x = 32,220,278,062.81
  5. Step 5: Solve for x
    x = 32,220,278,062.81/294,543.13
  6. Step 6: Final answer
    x = 109,390.70

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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.