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Finding the Fourth Proportional to 1,643,953, 2,465,929.50 and 462,001

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Solution

The fourth proportional to 1,643,953, 2,465,929.50 and 462,001 is: 693,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643,953 : 2,465,929.50 = 462,001 : x
  2. Step 2: Convert to fraction form
    1,643,953/2,465,929.50 = 462,001/x
  3. Step 3: Cross multiply
    1,643,953x = 2,465,929.50 × 462,001
  4. Step 4: Simplify right side
    1,643,953x = 1,139,261,894,929.50
  5. Step 5: Solve for x
    x = 1,139,261,894,929.50/1,643,953
  6. Step 6: Final answer
    x = 693,001.50

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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.