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Finding the Fourth Proportional to 560,092.23, 772,987.22 and 342,428.63

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Solution

The fourth proportional to 560,092.23, 772,987.22 and 342,428.63 is: 472,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,092.23 : 772,987.22 = 342,428.63 : x
  2. Step 2: Convert to fraction form
    560,092.23/772,987.22 = 342,428.63/x
  3. Step 3: Cross multiply
    560,092.23x = 772,987.22 × 342,428.63
  4. Step 4: Simplify right side
    560,092.23x = 264,692,949,175.03
  5. Step 5: Solve for x
    x = 264,692,949,175.03/560,092.23
  6. Step 6: Final answer
    x = 472,588.15

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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.