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Finding the Fourth Proportional to 578,070.54, 867,237.57 and 311,825.16

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Solution

The fourth proportional to 578,070.54, 867,237.57 and 311,825.16 is: 467,808.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,070.54 : 867,237.57 = 311,825.16 : x
  2. Step 2: Convert to fraction form
    578,070.54/867,237.57 = 311,825.16/x
  3. Step 3: Cross multiply
    578,070.54x = 867,237.57 × 311,825.16
  4. Step 4: Simplify right side
    578,070.54x = 270,426,494,023.26
  5. Step 5: Solve for x
    x = 270,426,494,023.26/578,070.54
  6. Step 6: Final answer
    x = 467,808.81

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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.