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Finding the Fourth Proportional to 380,207.46, 524,679.94 and 210,437.94

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Solution

The fourth proportional to 380,207.46, 524,679.94 and 210,437.94 is: 290,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,207.46 : 524,679.94 = 210,437.94 : x
  2. Step 2: Convert to fraction form
    380,207.46/524,679.94 = 210,437.94/x
  3. Step 3: Cross multiply
    380,207.46x = 524,679.94 × 210,437.94
  4. Step 4: Simplify right side
    380,207.46x = 110,412,565,732.92
  5. Step 5: Solve for x
    x = 110,412,565,732.92/380,207.46
  6. Step 6: Final answer
    x = 290,400.84

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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.