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Finding the Fourth Proportional to 370,465.60, 511,239.68 and 200,698.50

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Solution

The fourth proportional to 370,465.60, 511,239.68 and 200,698.50 is: 276,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,465.60 : 511,239.68 = 200,698.50 : x
  2. Step 2: Convert to fraction form
    370,465.60/511,239.68 = 200,698.50/x
  3. Step 3: Cross multiply
    370,465.60x = 511,239.68 × 200,698.50
  4. Step 4: Simplify right side
    370,465.60x = 102,605,036,916.48
  5. Step 5: Solve for x
    x = 102,605,036,916.48/370,465.60
  6. Step 6: Final answer
    x = 276,962.39

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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.