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Finding the Fourth Proportional to 354,148.64, 488,710.86 and 193,000.23

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Solution

The fourth proportional to 354,148.64, 488,710.86 and 193,000.23 is: 266,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,148.64 : 488,710.86 = 193,000.23 : x
  2. Step 2: Convert to fraction form
    354,148.64/488,710.86 = 193,000.23/x
  3. Step 3: Cross multiply
    354,148.64x = 488,710.86 × 193,000.23
  4. Step 4: Simplify right side
    354,148.64x = 94,321,308,383.50
  5. Step 5: Solve for x
    x = 94,321,308,383.50/354,148.64
  6. Step 6: Final answer
    x = 266,332.54

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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.