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Finding the Fourth Proportional to 457,102, 630,591.42 and 296,008.93

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Solution

The fourth proportional to 457,102, 630,591.42 and 296,008.93 is: 408,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,102 : 630,591.42 = 296,008.93 : x
  2. Step 2: Convert to fraction form
    457,102/630,591.42 = 296,008.93/x
  3. Step 3: Cross multiply
    457,102x = 630,591.42 × 296,008.93
  4. Step 4: Simplify right side
    457,102x = 186,660,691,501.38
  5. Step 5: Solve for x
    x = 186,660,691,501.38/457,102
  6. Step 6: Final answer
    x = 408,356.76

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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.