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Finding the Fourth Proportional to 650,811.24, 975,843.06 and 346,831.14

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Solution

The fourth proportional to 650,811.24, 975,843.06 and 346,831.14 is: 520,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,811.24 : 975,843.06 = 346,831.14 : x
  2. Step 2: Convert to fraction form
    650,811.24/975,843.06 = 346,831.14/x
  3. Step 3: Cross multiply
    650,811.24x = 975,843.06 × 346,831.14
  4. Step 4: Simplify right side
    650,811.24x = 338,452,760,960.89
  5. Step 5: Solve for x
    x = 338,452,760,960.89/650,811.24
  6. Step 6: Final answer
    x = 520,047.50

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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.