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Finding the Fourth Proportional to 370,603.97, 511,420.05 and 209,455.68

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Solution

The fourth proportional to 370,603.97, 511,420.05 and 209,455.68 is: 289,041.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,603.97 : 511,420.05 = 209,455.68 : x
  2. Step 2: Convert to fraction form
    370,603.97/511,420.05 = 209,455.68/x
  3. Step 3: Cross multiply
    370,603.97x = 511,420.05 × 209,455.68
  4. Step 4: Simplify right side
    370,603.97x = 107,119,834,338.38
  5. Step 5: Solve for x
    x = 107,119,834,338.38/370,603.97
  6. Step 6: Final answer
    x = 289,041.25

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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.