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Finding the Fourth Proportional to 304,447.20, 456,699.60 and 82,831.20

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Solution

The fourth proportional to 304,447.20, 456,699.60 and 82,831.20 is: 124,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,447.20 : 456,699.60 = 82,831.20 : x
  2. Step 2: Convert to fraction form
    304,447.20/456,699.60 = 82,831.20/x
  3. Step 3: Cross multiply
    304,447.20x = 456,699.60 × 82,831.20
  4. Step 4: Simplify right side
    304,447.20x = 37,828,975,907.52
  5. Step 5: Solve for x
    x = 37,828,975,907.52/304,447.20
  6. Step 6: Final answer
    x = 124,254.64

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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.