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Finding the Fourth Proportional to 513,831.20, 770,228.40 and 233,549.60

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Solution

The fourth proportional to 513,831.20, 770,228.40 and 233,549.60 is: 350,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,831.20 : 770,228.40 = 233,549.60 : x
  2. Step 2: Convert to fraction form
    513,831.20/770,228.40 = 233,549.60/x
  3. Step 3: Cross multiply
    513,831.20x = 770,228.40 × 233,549.60
  4. Step 4: Simplify right side
    513,831.20x = 179,886,534,728.64
  5. Step 5: Solve for x
    x = 179,886,534,728.64/513,831.20
  6. Step 6: Final answer
    x = 350,088.77

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1.5x scale

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.