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Finding the Fourth Proportional to 343,509.29, 474,050.42 and 190,542.50

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Solution

The fourth proportional to 343,509.29, 474,050.42 and 190,542.50 is: 262,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,509.29 : 474,050.42 = 190,542.50 : x
  2. Step 2: Convert to fraction form
    343,509.29/474,050.42 = 190,542.50/x
  3. Step 3: Cross multiply
    343,509.29x = 474,050.42 × 190,542.50
  4. Step 4: Simplify right side
    343,509.29x = 90,326,748,829.89
  5. Step 5: Solve for x
    x = 90,326,748,829.89/343,509.29
  6. Step 6: Final answer
    x = 262,952.86

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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.