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Finding the Fourth Proportional to 823,368, 1,136,247.84 and 446,536

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Solution

The fourth proportional to 823,368, 1,136,247.84 and 446,536 is: 616,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,368 : 1,136,247.84 = 446,536 : x
  2. Step 2: Convert to fraction form
    823,368/1,136,247.84 = 446,536/x
  3. Step 3: Cross multiply
    823,368x = 1,136,247.84 × 446,536
  4. Step 4: Simplify right side
    823,368x = 507,375,565,482.24
  5. Step 5: Solve for x
    x = 507,375,565,482.24/823,368
  6. Step 6: Final answer
    x = 616,219.68

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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.