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Finding the Fourth Proportional to 614,050.80, 921,205.80 and 193,369.20

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Solution

The fourth proportional to 614,050.80, 921,205.80 and 193,369.20 is: 290,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,050.80 : 921,205.80 = 193,369.20 : x
  2. Step 2: Convert to fraction form
    614,050.80/921,205.80 = 193,369.20/x
  3. Step 3: Cross multiply
    614,050.80x = 921,205.80 × 193,369.20
  4. Step 4: Simplify right side
    614,050.80x = 178,132,828,581.36
  5. Step 5: Solve for x
    x = 178,132,828,581.36/614,050.80
  6. Step 6: Final answer
    x = 290,094.61

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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.