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Finding the Fourth Proportional to 407,280.38, 562,038.31 and 225,988.34

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Solution

The fourth proportional to 407,280.38, 562,038.31 and 225,988.34 is: 311,859.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,280.38 : 562,038.31 = 225,988.34 : x
  2. Step 2: Convert to fraction form
    407,280.38/562,038.31 = 225,988.34/x
  3. Step 3: Cross multiply
    407,280.38x = 562,038.31 × 225,988.34
  4. Step 4: Simplify right side
    407,280.38x = 127,014,104,693.31
  5. Step 5: Solve for x
    x = 127,014,104,693.31/407,280.38
  6. Step 6: Final answer
    x = 311,859.13

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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.