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Finding the Fourth Proportional to 301,448.08, 415,999.40 and 167,312.08

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Solution

The fourth proportional to 301,448.08, 415,999.40 and 167,312.08 is: 230,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,448.08 : 415,999.40 = 167,312.08 : x
  2. Step 2: Convert to fraction form
    301,448.08/415,999.40 = 167,312.08/x
  3. Step 3: Cross multiply
    301,448.08x = 415,999.40 × 167,312.08
  4. Step 4: Simplify right side
    301,448.08x = 69,601,724,892.75
  5. Step 5: Solve for x
    x = 69,601,724,892.75/301,448.08
  6. Step 6: Final answer
    x = 230,891.25

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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.