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Finding the Fourth Proportional to 1,217,312, 1,825,611 and 458,606

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Solution

The fourth proportional to 1,217,312, 1,825,611 and 458,606 is: 687,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217,312 : 1,825,611 = 458,606 : x
  2. Step 2: Convert to fraction form
    1,217,312/1,825,611 = 458,606/x
  3. Step 3: Cross multiply
    1,217,312x = 1,825,611 × 458,606
  4. Step 4: Simplify right side
    1,217,312x = 837,236,158,266
  5. Step 5: Solve for x
    x = 837,236,158,266/1,217,312
  6. Step 6: Final answer
    x = 687,774.51

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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.