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Finding the Fourth Proportional to 369,985.32, 510,581.03 and 200,219.40

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Solution

The fourth proportional to 369,985.32, 510,581.03 and 200,219.40 is: 276,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,985.32 : 510,581.03 = 200,219.40 : x
  2. Step 2: Convert to fraction form
    369,985.32/510,581.03 = 200,219.40/x
  3. Step 3: Cross multiply
    369,985.32x = 510,581.03 × 200,219.40
  4. Step 4: Simplify right side
    369,985.32x = 102,228,226,476.89
  5. Step 5: Solve for x
    x = 102,228,226,476.89/369,985.32
  6. Step 6: Final answer
    x = 276,303.47

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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.