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Finding the Fourth Proportional to 467,055.72, 698,024.70 and 340,961.52

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Solution

The fourth proportional to 467,055.72, 698,024.70 and 340,961.52 is: 509,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,055.72 : 698,024.70 = 340,961.52 : x
  2. Step 2: Convert to fraction form
    467,055.72/698,024.70 = 340,961.52/x
  3. Step 3: Cross multiply
    467,055.72x = 698,024.70 × 340,961.52
  4. Step 4: Simplify right side
    467,055.72x = 237,999,562,709.54
  5. Step 5: Solve for x
    x = 237,999,562,709.54/467,055.72
  6. Step 6: Final answer
    x = 509,574.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.