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Finding the Fourth Proportional to 664,264.04, 916,809.38 and 416,021.01

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Solution

The fourth proportional to 664,264.04, 916,809.38 and 416,021.01 is: 574,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,264.04 : 916,809.38 = 416,021.01 : x
  2. Step 2: Convert to fraction form
    664,264.04/916,809.38 = 416,021.01/x
  3. Step 3: Cross multiply
    664,264.04x = 916,809.38 × 416,021.01
  4. Step 4: Simplify right side
    664,264.04x = 381,411,967,784.18
  5. Step 5: Solve for x
    x = 381,411,967,784.18/664,264.04
  6. Step 6: Final answer
    x = 574,187.29

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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.