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Finding the Fourth Proportional to 295,095.81, 407,220.44 and 174,276.03

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Solution

The fourth proportional to 295,095.81, 407,220.44 and 174,276.03 is: 240,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,095.81 : 407,220.44 = 174,276.03 : x
  2. Step 2: Convert to fraction form
    295,095.81/407,220.44 = 174,276.03/x
  3. Step 3: Cross multiply
    295,095.81x = 407,220.44 × 174,276.03
  4. Step 4: Simplify right side
    295,095.81x = 70,968,760,746.67
  5. Step 5: Solve for x
    x = 70,968,760,746.67/295,095.81
  6. Step 6: Final answer
    x = 240,493.96

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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.