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Finding the Fourth Proportional to 380,359.88, 524,913.03 and 210,594

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Solution

The fourth proportional to 380,359.88, 524,913.03 and 210,594 is: 290,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,359.88 : 524,913.03 = 210,594 : x
  2. Step 2: Convert to fraction form
    380,359.88/524,913.03 = 210,594/x
  3. Step 3: Cross multiply
    380,359.88x = 524,913.03 × 210,594
  4. Step 4: Simplify right side
    380,359.88x = 110,543,534,639.82
  5. Step 5: Solve for x
    x = 110,543,534,639.82/380,359.88
  6. Step 6: Final answer
    x = 290,628.80

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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.