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Finding the Fourth Proportional to 395,902.13, 591,152.14 and 315,032.34

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Solution

The fourth proportional to 395,902.13, 591,152.14 and 315,032.34 is: 470,399.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,902.13 : 591,152.14 = 315,032.34 : x
  2. Step 2: Convert to fraction form
    395,902.13/591,152.14 = 315,032.34/x
  3. Step 3: Cross multiply
    395,902.13x = 591,152.14 × 315,032.34
  4. Step 4: Simplify right side
    395,902.13x = 186,232,039,916.54
  5. Step 5: Solve for x
    x = 186,232,039,916.54/395,902.13
  6. Step 6: Final answer
    x = 470,399.19

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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.