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Finding the Fourth Proportional to 295,562.25, 407,875.91 and 161,426.25

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Solution

The fourth proportional to 295,562.25, 407,875.91 and 161,426.25 is: 222,768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,562.25 : 407,875.91 = 161,426.25 : x
  2. Step 2: Convert to fraction form
    295,562.25/407,875.91 = 161,426.25/x
  3. Step 3: Cross multiply
    295,562.25x = 407,875.91 × 161,426.25
  4. Step 4: Simplify right side
    295,562.25x = 65,841,877,809.51
  5. Step 5: Solve for x
    x = 65,841,877,809.51/295,562.25
  6. Step 6: Final answer
    x = 222,768.23

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1.5x scale

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.