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Finding the Fourth Proportional to 434,045.06, 599,189.86 and 289,092.07

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Solution

The fourth proportional to 434,045.06, 599,189.86 and 289,092.07 is: 399,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,045.06 : 599,189.86 = 289,092.07 : x
  2. Step 2: Convert to fraction form
    434,045.06/599,189.86 = 289,092.07/x
  3. Step 3: Cross multiply
    434,045.06x = 599,189.86 × 289,092.07
  4. Step 4: Simplify right side
    434,045.06x = 173,221,038,060.76
  5. Step 5: Solve for x
    x = 173,221,038,060.76/434,045.06
  6. Step 6: Final answer
    x = 399,085.38

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Why These Related Problems?

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