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Finding the Fourth Proportional to 434,048.40, 599,194.32 and 289,095.24

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Solution

The fourth proportional to 434,048.40, 599,194.32 and 289,095.24 is: 399,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,048.40 : 599,194.32 = 289,095.24 : x
  2. Step 2: Convert to fraction form
    434,048.40/599,194.32 = 289,095.24/x
  3. Step 3: Cross multiply
    434,048.40x = 599,194.32 × 289,095.24
  4. Step 4: Simplify right side
    434,048.40x = 173,224,225,747.04
  5. Step 5: Solve for x
    x = 173,224,225,747.04/434,048.40
  6. Step 6: Final answer
    x = 399,089.65

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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.