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Finding the Fourth Proportional to 633,546, 874,315.23 and 347,066

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Solution

The fourth proportional to 633,546, 874,315.23 and 347,066 is: 478,962.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,546 : 874,315.23 = 347,066 : x
  2. Step 2: Convert to fraction form
    633,546/874,315.23 = 347,066/x
  3. Step 3: Cross multiply
    633,546x = 874,315.23 × 347,066
  4. Step 4: Simplify right side
    633,546x = 303,445,089,615.18
  5. Step 5: Solve for x
    x = 303,445,089,615.18/633,546
  6. Step 6: Final answer
    x = 478,962.99

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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.