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Finding the Fourth Proportional to 542,823.70, 814,235.55 and 507,831.70

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Solution

The fourth proportional to 542,823.70, 814,235.55 and 507,831.70 is: 761,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,823.70 : 814,235.55 = 507,831.70 : x
  2. Step 2: Convert to fraction form
    542,823.70/814,235.55 = 507,831.70/x
  3. Step 3: Cross multiply
    542,823.70x = 814,235.55 × 507,831.70
  4. Step 4: Simplify right side
    542,823.70x = 413,494,623,556.94
  5. Step 5: Solve for x
    x = 413,494,623,556.94/542,823.70
  6. Step 6: Final answer
    x = 761,747.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.