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Finding the Fourth Proportional to 823,373, 1,136,254.74 and 446,541

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Solution

The fourth proportional to 823,373, 1,136,254.74 and 446,541 is: 616,226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,373 : 1,136,254.74 = 446,541 : x
  2. Step 2: Convert to fraction form
    823,373/1,136,254.74 = 446,541/x
  3. Step 3: Cross multiply
    823,373x = 1,136,254.74 × 446,541
  4. Step 4: Simplify right side
    823,373x = 507,384,327,854.34
  5. Step 5: Solve for x
    x = 507,384,327,854.34/823,373
  6. Step 6: Final answer
    x = 616,226.58

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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.