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Finding the Fourth Proportional to 370,512.52, 511,307.10 and 200,746.64

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Solution

The fourth proportional to 370,512.52, 511,307.10 and 200,746.64 is: 277,030.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,512.52 : 511,307.10 = 200,746.64 : x
  2. Step 2: Convert to fraction form
    370,512.52/511,307.10 = 200,746.64/x
  3. Step 3: Cross multiply
    370,512.52x = 511,307.10 × 200,746.64
  4. Step 4: Simplify right side
    370,512.52x = 102,643,182,333.14
  5. Step 5: Solve for x
    x = 102,643,182,333.14/370,512.52
  6. Step 6: Final answer
    x = 277,030.27

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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.