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Finding the Fourth Proportional to 434,047.06, 599,192.62 and 289,094.07

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Solution

The fourth proportional to 434,047.06, 599,192.62 and 289,094.07 is: 399,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,047.06 : 599,192.62 = 289,094.07 : x
  2. Step 2: Convert to fraction form
    434,047.06/599,192.62 = 289,094.07/x
  3. Step 3: Cross multiply
    434,047.06x = 599,192.62 × 289,094.07
  4. Step 4: Simplify right side
    434,047.06x = 173,223,033,229.76
  5. Step 5: Solve for x
    x = 173,223,033,229.76/434,047.06
  6. Step 6: Final answer
    x = 399,088.14

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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.