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Finding the Fourth Proportional to 369,981.89, 510,575.01 and 200,216.01

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Solution

The fourth proportional to 369,981.89, 510,575.01 and 200,216.01 is: 276,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,981.89 : 510,575.01 = 200,216.01 : x
  2. Step 2: Convert to fraction form
    369,981.89/510,575.01 = 200,216.01/x
  3. Step 3: Cross multiply
    369,981.89x = 510,575.01 × 200,216.01
  4. Step 4: Simplify right side
    369,981.89x = 102,225,291,307.91
  5. Step 5: Solve for x
    x = 102,225,291,307.91/369,981.89
  6. Step 6: Final answer
    x = 276,298.10

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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.