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Finding the Fourth Proportional to 410,831.80, 576,823.40 and 410,831.80

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Solution

The fourth proportional to 410,831.80, 576,823.40 and 410,831.80 is: 576,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,831.80 : 576,823.40 = 410,831.80 : x
  2. Step 2: Convert to fraction form
    410,831.80/576,823.40 = 410,831.80/x
  3. Step 3: Cross multiply
    410,831.80x = 576,823.40 × 410,831.80
  4. Step 4: Simplify right side
    410,831.80x = 236,977,395,704.12
  5. Step 5: Solve for x
    x = 236,977,395,704.12/410,831.80
  6. Step 6: Final answer
    x = 576,823.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.