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Finding the Fourth Proportional to 305,666.16, 457,852.80 and 193,288.40

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Solution

The fourth proportional to 305,666.16, 457,852.80 and 193,288.40 is: 289,523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,666.16 : 457,852.80 = 193,288.40 : x
  2. Step 2: Convert to fraction form
    305,666.16/457,852.80 = 193,288.40/x
  3. Step 3: Cross multiply
    305,666.16x = 457,852.80 × 193,288.40
  4. Step 4: Simplify right side
    305,666.16x = 88,497,635,147.52
  5. Step 5: Solve for x
    x = 88,497,635,147.52/305,666.16
  6. Step 6: Final answer
    x = 289,523.82

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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.