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Finding the Fourth Proportional to 472,809.27, 709,345.13 and 262,594.83

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Solution

The fourth proportional to 472,809.27, 709,345.13 and 262,594.83 is: 393,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,809.27 : 709,345.13 = 262,594.83 : x
  2. Step 2: Convert to fraction form
    472,809.27/709,345.13 = 262,594.83/x
  3. Step 3: Cross multiply
    472,809.27x = 709,345.13 × 262,594.83
  4. Step 4: Simplify right side
    472,809.27x = 186,270,362,510.70
  5. Step 5: Solve for x
    x = 186,270,362,510.70/472,809.27
  6. Step 6: Final answer
    x = 393,965.12

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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.