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Finding the Fourth Proportional to 306,570.47, 462,735.16 and 306,570.47

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Solution

The fourth proportional to 306,570.47, 462,735.16 and 306,570.47 is: 462,735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,570.47 : 462,735.16 = 306,570.47 : x
  2. Step 2: Convert to fraction form
    306,570.47/462,735.16 = 306,570.47/x
  3. Step 3: Cross multiply
    306,570.47x = 462,735.16 × 306,570.47
  4. Step 4: Simplify right side
    306,570.47x = 141,860,932,406.62
  5. Step 5: Solve for x
    x = 141,860,932,406.62/306,570.47
  6. Step 6: Final answer
    x = 462,735.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.