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Finding the Fourth Proportional to 518,177.34, 777,266.01 and 202,412.81

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Solution

The fourth proportional to 518,177.34, 777,266.01 and 202,412.81 is: 303,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,177.34 : 777,266.01 = 202,412.81 : x
  2. Step 2: Convert to fraction form
    518,177.34/777,266.01 = 202,412.81/x
  3. Step 3: Cross multiply
    518,177.34x = 777,266.01 × 202,412.81
  4. Step 4: Simplify right side
    518,177.34x = 157,328,596,189.52
  5. Step 5: Solve for x
    x = 157,328,596,189.52/518,177.34
  6. Step 6: Final answer
    x = 303,619.22

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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.