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Finding the Fourth Proportional to 301,192.78, 415,615.23 and 180,330.93

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Solution

The fourth proportional to 301,192.78, 415,615.23 and 180,330.93 is: 248,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,192.78 : 415,615.23 = 180,330.93 : x
  2. Step 2: Convert to fraction form
    301,192.78/415,615.23 = 180,330.93/x
  3. Step 3: Cross multiply
    301,192.78x = 415,615.23 × 180,330.93
  4. Step 4: Simplify right side
    301,192.78x = 74,948,280,948.06
  5. Step 5: Solve for x
    x = 74,948,280,948.06/301,192.78
  6. Step 6: Final answer
    x = 248,838.24

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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.