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Finding the Fourth Proportional to 380,430.08, 524,434.56 and 289,628

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Solution

The fourth proportional to 380,430.08, 524,434.56 and 289,628 is: 399,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,430.08 : 524,434.56 = 289,628 : x
  2. Step 2: Convert to fraction form
    380,430.08/524,434.56 = 289,628/x
  3. Step 3: Cross multiply
    380,430.08x = 524,434.56 × 289,628
  4. Step 4: Simplify right side
    380,430.08x = 151,890,932,743.68
  5. Step 5: Solve for x
    x = 151,890,932,743.68/380,430.08
  6. Step 6: Final answer
    x = 399,261.10

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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.