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Finding the Fourth Proportional to 1,598,417, 2,397,625.50 and 416,465

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Solution

The fourth proportional to 1,598,417, 2,397,625.50 and 416,465 is: 624,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598,417 : 2,397,625.50 = 416,465 : x
  2. Step 2: Convert to fraction form
    1,598,417/2,397,625.50 = 416,465/x
  3. Step 3: Cross multiply
    1,598,417x = 2,397,625.50 × 416,465
  4. Step 4: Simplify right side
    1,598,417x = 998,527,103,857.50
  5. Step 5: Solve for x
    x = 998,527,103,857.50/1,598,417
  6. Step 6: Final answer
    x = 624,697.50

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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.