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Finding the Fourth Proportional to 295,572.02, 407,464.24 and 210,541.46

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Solution

The fourth proportional to 295,572.02, 407,464.24 and 210,541.46 is: 290,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,572.02 : 407,464.24 = 210,541.46 : x
  2. Step 2: Convert to fraction form
    295,572.02/407,464.24 = 210,541.46/x
  3. Step 3: Cross multiply
    295,572.02x = 407,464.24 × 210,541.46
  4. Step 4: Simplify right side
    295,572.02x = 85,788,118,273.57
  5. Step 5: Solve for x
    x = 85,788,118,273.57/295,572.02
  6. Step 6: Final answer
    x = 290,244.38

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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.