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Finding the Fourth Proportional to 605,464.74, 835,498.16 and 360,436.50

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Solution

The fourth proportional to 605,464.74, 835,498.16 and 360,436.50 is: 497,376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,464.74 : 835,498.16 = 360,436.50 : x
  2. Step 2: Convert to fraction form
    605,464.74/835,498.16 = 360,436.50/x
  3. Step 3: Cross multiply
    605,464.74x = 835,498.16 × 360,436.50
  4. Step 4: Simplify right side
    605,464.74x = 301,144,032,546.84
  5. Step 5: Solve for x
    x = 301,144,032,546.84/605,464.74
  6. Step 6: Final answer
    x = 497,376.66

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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.