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Finding the Fourth Proportional to 370,002.54, 510,603.30 and 208,858.98

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Solution

The fourth proportional to 370,002.54, 510,603.30 and 208,858.98 is: 288,225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,002.54 : 510,603.30 = 208,858.98 : x
  2. Step 2: Convert to fraction form
    370,002.54/510,603.30 = 208,858.98/x
  3. Step 3: Cross multiply
    370,002.54x = 510,603.30 × 208,858.98
  4. Step 4: Simplify right side
    370,002.54x = 106,644,084,422.63
  5. Step 5: Solve for x
    x = 106,644,084,422.63/370,002.54
  6. Step 6: Final answer
    x = 288,225.28

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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.