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Finding the Fourth Proportional to 343,413, 473,871.24 and 192,506.76

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Solution

The fourth proportional to 343,413, 473,871.24 and 192,506.76 is: 265,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,413 : 473,871.24 = 192,506.76 : x
  2. Step 2: Convert to fraction form
    343,413/473,871.24 = 192,506.76/x
  3. Step 3: Cross multiply
    343,413x = 473,871.24 × 192,506.76
  4. Step 4: Simplify right side
    343,413x = 91,223,417,069.58
  5. Step 5: Solve for x
    x = 91,223,417,069.58/343,413
  6. Step 6: Final answer
    x = 265,637.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.