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Finding the Fourth Proportional to 464,403.93, 640,969.43 and 301,262.55

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Solution

The fourth proportional to 464,403.93, 640,969.43 and 301,262.55 is: 415,802.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,403.93 : 640,969.43 = 301,262.55 : x
  2. Step 2: Convert to fraction form
    464,403.93/640,969.43 = 301,262.55/x
  3. Step 3: Cross multiply
    464,403.93x = 640,969.43 × 301,262.55
  4. Step 4: Simplify right side
    464,403.93x = 193,100,084,953.85
  5. Step 5: Solve for x
    x = 193,100,084,953.85/464,403.93
  6. Step 6: Final answer
    x = 415,802.00

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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.