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Finding the Fourth Proportional to 507,831.84, 761,750.46 and 152,843.40

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Solution

The fourth proportional to 507,831.84, 761,750.46 and 152,843.40 is: 229,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,831.84 : 761,750.46 = 152,843.40 : x
  2. Step 2: Convert to fraction form
    507,831.84/761,750.46 = 152,843.40/x
  3. Step 3: Cross multiply
    507,831.84x = 761,750.46 × 152,843.40
  4. Step 4: Simplify right side
    507,831.84x = 116,428,530,257.96
  5. Step 5: Solve for x
    x = 116,428,530,257.96/507,831.84
  6. Step 6: Final answer
    x = 229,265.91

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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.