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Finding the Fourth Proportional to 496,598.40, 745,205.40 and 260,110.80

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Solution

The fourth proportional to 496,598.40, 745,205.40 and 260,110.80 is: 390,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,598.40 : 745,205.40 = 260,110.80 : x
  2. Step 2: Convert to fraction form
    496,598.40/745,205.40 = 260,110.80/x
  3. Step 3: Cross multiply
    496,598.40x = 745,205.40 × 260,110.80
  4. Step 4: Simplify right side
    496,598.40x = 193,835,972,758.32
  5. Step 5: Solve for x
    x = 193,835,972,758.32/496,598.40
  6. Step 6: Final answer
    x = 390,327.42

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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.