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Finding the Fourth Proportional to 301,376, 415,918.36 and 167,240

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Solution

The fourth proportional to 301,376, 415,918.36 and 167,240 is: 230,802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,376 : 415,918.36 = 167,240 : x
  2. Step 2: Convert to fraction form
    301,376/415,918.36 = 167,240/x
  3. Step 3: Cross multiply
    301,376x = 415,918.36 × 167,240
  4. Step 4: Simplify right side
    301,376x = 69,558,186,526.40
  5. Step 5: Solve for x
    x = 69,558,186,526.40/301,376
  6. Step 6: Final answer
    x = 230,802.01

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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.