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Finding the Fourth Proportional to 360,831.06, 497,954.97 and 233,727.84

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Solution

The fourth proportional to 360,831.06, 497,954.97 and 233,727.84 is: 322,549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,831.06 : 497,954.97 = 233,727.84 : x
  2. Step 2: Convert to fraction form
    360,831.06/497,954.97 = 233,727.84/x
  3. Step 3: Cross multiply
    360,831.06x = 497,954.97 × 233,727.84
  4. Step 4: Simplify right side
    360,831.06x = 116,385,939,555.37
  5. Step 5: Solve for x
    x = 116,385,939,555.37/360,831.06
  6. Step 6: Final answer
    x = 322,549.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.