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Finding the Fourth Proportional to 369,808.16, 510,332.88 and 200,038.64

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Solution

The fourth proportional to 369,808.16, 510,332.88 and 200,038.64 is: 276,052.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,808.16 : 510,332.88 = 200,038.64 : x
  2. Step 2: Convert to fraction form
    369,808.16/510,332.88 = 200,038.64/x
  3. Step 3: Cross multiply
    369,808.16x = 510,332.88 × 200,038.64
  4. Step 4: Simplify right side
    369,808.16x = 102,086,295,262.48
  5. Step 5: Solve for x
    x = 102,086,295,262.48/369,808.16
  6. Step 6: Final answer
    x = 276,052.04

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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.