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Finding the Fourth Proportional to 402,415.80, 603,623.70 and 260,698.20

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Solution

The fourth proportional to 402,415.80, 603,623.70 and 260,698.20 is: 391,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,415.80 : 603,623.70 = 260,698.20 : x
  2. Step 2: Convert to fraction form
    402,415.80/603,623.70 = 260,698.20/x
  3. Step 3: Cross multiply
    402,415.80x = 603,623.70 × 260,698.20
  4. Step 4: Simplify right side
    402,415.80x = 157,363,612,067.34
  5. Step 5: Solve for x
    x = 157,363,612,067.34/402,415.80
  6. Step 6: Final answer
    x = 391,047.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.