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Finding the Fourth Proportional to 434,396.34, 599,466.15 and 264,630.47

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Solution

The fourth proportional to 434,396.34, 599,466.15 and 264,630.47 is: 365,189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,396.34 : 599,466.15 = 264,630.47 : x
  2. Step 2: Convert to fraction form
    434,396.34/599,466.15 = 264,630.47/x
  3. Step 3: Cross multiply
    434,396.34x = 599,466.15 × 264,630.47
  4. Step 4: Simplify right side
    434,396.34x = 158,637,006,026.26
  5. Step 5: Solve for x
    x = 158,637,006,026.26/434,396.34
  6. Step 6: Final answer
    x = 365,189.55

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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.