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Finding the Fourth Proportional to 614,448.80, 921,802.80 and 193,767.20

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Solution

The fourth proportional to 614,448.80, 921,802.80 and 193,767.20 is: 290,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,448.80 : 921,802.80 = 193,767.20 : x
  2. Step 2: Convert to fraction form
    614,448.80/921,802.80 = 193,767.20/x
  3. Step 3: Cross multiply
    614,448.80x = 921,802.80 × 193,767.20
  4. Step 4: Simplify right side
    614,448.80x = 178,615,147,508.16
  5. Step 5: Solve for x
    x = 178,615,147,508.16/614,448.80
  6. Step 6: Final answer
    x = 290,691.67

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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.