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Finding the Fourth Proportional to 295,505.16, 407,816.95 and 164,703.16

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Solution

The fourth proportional to 295,505.16, 407,816.95 and 164,703.16 is: 227,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,505.16 : 407,816.95 = 164,703.16 : x
  2. Step 2: Convert to fraction form
    295,505.16/407,816.95 = 164,703.16/x
  3. Step 3: Cross multiply
    295,505.16x = 407,816.95 × 164,703.16
  4. Step 4: Simplify right side
    295,505.16x = 67,168,740,366.56
  5. Step 5: Solve for x
    x = 67,168,740,366.56/295,505.16
  6. Step 6: Final answer
    x = 227,301.41

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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.