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Finding the Fourth Proportional to 415,533.20, 623,332.20 and 178,883.60

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Solution

The fourth proportional to 415,533.20, 623,332.20 and 178,883.60 is: 268,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,533.20 : 623,332.20 = 178,883.60 : x
  2. Step 2: Convert to fraction form
    415,533.20/623,332.20 = 178,883.60/x
  3. Step 3: Cross multiply
    415,533.20x = 623,332.20 × 178,883.60
  4. Step 4: Simplify right side
    415,533.20x = 111,503,907,931.92
  5. Step 5: Solve for x
    x = 111,503,907,931.92/415,533.20
  6. Step 6: Final answer
    x = 268,339.35

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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.