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Finding the Fourth Proportional to 405,081.29, 607,051.49 and 309,943.13

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Solution

The fourth proportional to 405,081.29, 607,051.49 and 309,943.13 is: 464,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,081.29 : 607,051.49 = 309,943.13 : x
  2. Step 2: Convert to fraction form
    405,081.29/607,051.49 = 309,943.13/x
  3. Step 3: Cross multiply
    405,081.29x = 607,051.49 × 309,943.13
  4. Step 4: Simplify right side
    405,081.29x = 188,151,437,332.05
  5. Step 5: Solve for x
    x = 188,151,437,332.05/405,081.29
  6. Step 6: Final answer
    x = 464,478.22

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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.