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Finding the Fourth Proportional to 343,263.12, 473,731.08 and 190,349.24

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Solution

The fourth proportional to 343,263.12, 473,731.08 and 190,349.24 is: 262,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,263.12 : 473,731.08 = 190,349.24 : x
  2. Step 2: Convert to fraction form
    343,263.12/473,731.08 = 190,349.24/x
  3. Step 3: Cross multiply
    343,263.12x = 473,731.08 × 190,349.24
  4. Step 4: Simplify right side
    343,263.12x = 90,174,351,042.38
  5. Step 5: Solve for x
    x = 90,174,351,042.38/343,263.12
  6. Step 6: Final answer
    x = 262,697.46

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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.