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Finding the Fourth Proportional to 492,596.29, 737,721.55 and 314,551.81

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Solution

The fourth proportional to 492,596.29, 737,721.55 and 314,551.81 is: 471,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,596.29 : 737,721.55 = 314,551.81 : x
  2. Step 2: Convert to fraction form
    492,596.29/737,721.55 = 314,551.81/x
  3. Step 3: Cross multiply
    492,596.29x = 737,721.55 × 314,551.81
  4. Step 4: Simplify right side
    492,596.29x = 232,051,648,828.51
  5. Step 5: Solve for x
    x = 232,051,648,828.51/492,596.29
  6. Step 6: Final answer
    x = 471,078.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.