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Finding the Fourth Proportional to 1,635,314, 2,452,971 and 453,362

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Solution

The fourth proportional to 1,635,314, 2,452,971 and 453,362 is: 680,043

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635,314 : 2,452,971 = 453,362 : x
  2. Step 2: Convert to fraction form
    1,635,314/2,452,971 = 453,362/x
  3. Step 3: Cross multiply
    1,635,314x = 2,452,971 × 453,362
  4. Step 4: Simplify right side
    1,635,314x = 1,112,083,838,502
  5. Step 5: Solve for x
    x = 1,112,083,838,502/1,635,314
  6. Step 6: Final answer
    x = 680,043

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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.