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Finding the Fourth Proportional to 733,320, 1,012,021.44 and 411,133.44

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Solution

The fourth proportional to 733,320, 1,012,021.44 and 411,133.44 is: 567,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,320 : 1,012,021.44 = 411,133.44 : x
  2. Step 2: Convert to fraction form
    733,320/1,012,021.44 = 411,133.44/x
  3. Step 3: Cross multiply
    733,320x = 1,012,021.44 × 411,133.44
  4. Step 4: Simplify right side
    733,320x = 416,075,855,980.95
  5. Step 5: Solve for x
    x = 416,075,855,980.95/733,320
  6. Step 6: Final answer
    x = 567,386.48

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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.