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Finding the Fourth Proportional to 369,603.45, 510,052.64 and 208,458.14

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Solution

The fourth proportional to 369,603.45, 510,052.64 and 208,458.14 is: 287,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,603.45 : 510,052.64 = 208,458.14 : x
  2. Step 2: Convert to fraction form
    369,603.45/510,052.64 = 208,458.14/x
  3. Step 3: Cross multiply
    369,603.45x = 510,052.64 × 208,458.14
  4. Step 4: Simplify right side
    369,603.45x = 106,324,621,043.94
  5. Step 5: Solve for x
    x = 106,324,621,043.94/369,603.45
  6. Step 6: Final answer
    x = 287,672.16

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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.