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Finding the Fourth Proportional to 380,430.42, 524,987.49 and 210,660.90

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Solution

The fourth proportional to 380,430.42, 524,987.49 and 210,660.90 is: 290,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,430.42 : 524,987.49 = 210,660.90 : x
  2. Step 2: Convert to fraction form
    380,430.42/524,987.49 = 210,660.90/x
  3. Step 3: Cross multiply
    380,430.42x = 524,987.49 × 210,660.90
  4. Step 4: Simplify right side
    380,430.42x = 110,594,337,132.14
  5. Step 5: Solve for x
    x = 110,594,337,132.14/380,430.42
  6. Step 6: Final answer
    x = 290,708.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.