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Finding the Fourth Proportional to 546,831.08, 821,412.38 and 514,871.40

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Solution

The fourth proportional to 546,831.08, 821,412.38 and 514,871.40 is: 773,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,831.08 : 821,412.38 = 514,871.40 : x
  2. Step 2: Convert to fraction form
    546,831.08/821,412.38 = 514,871.40/x
  3. Step 3: Cross multiply
    546,831.08x = 821,412.38 × 514,871.40
  4. Step 4: Simplify right side
    546,831.08x = 422,921,742,067.93
  5. Step 5: Solve for x
    x = 422,921,742,067.93/546,831.08
  6. Step 6: Final answer
    x = 773,404.73

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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.