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Finding the Fourth Proportional to 289,233.60, 432,975.60 and 257,740.80

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Solution

The fourth proportional to 289,233.60, 432,975.60 and 257,740.80 is: 385,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,233.60 : 432,975.60 = 257,740.80 : x
  2. Step 2: Convert to fraction form
    289,233.60/432,975.60 = 257,740.80/x
  3. Step 3: Cross multiply
    289,233.60x = 432,975.60 × 257,740.80
  4. Step 4: Simplify right side
    289,233.60x = 111,595,477,524.48
  5. Step 5: Solve for x
    x = 111,595,477,524.48/289,233.60
  6. Step 6: Final answer
    x = 385,831.65

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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.