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Finding the Fourth Proportional to 458,698.41, 633,096.95 and 265,114.35

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Solution

The fourth proportional to 458,698.41, 633,096.95 and 265,114.35 is: 365,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,698.41 : 633,096.95 = 265,114.35 : x
  2. Step 2: Convert to fraction form
    458,698.41/633,096.95 = 265,114.35/x
  3. Step 3: Cross multiply
    458,698.41x = 633,096.95 × 265,114.35
  4. Step 4: Simplify right side
    458,698.41x = 167,843,085,060.66
  5. Step 5: Solve for x
    x = 167,843,085,060.66/458,698.41
  6. Step 6: Final answer
    x = 365,911.63

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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.