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Finding the Fourth Proportional to 295,243.68, 407,298.06 and 174,302.58

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Solution

The fourth proportional to 295,243.68, 407,298.06 and 174,302.58 is: 240,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,243.68 : 407,298.06 = 174,302.58 : x
  2. Step 2: Convert to fraction form
    295,243.68/407,298.06 = 174,302.58/x
  3. Step 3: Cross multiply
    295,243.68x = 407,298.06 × 174,302.58
  4. Step 4: Simplify right side
    295,243.68x = 70,993,102,686.99
  5. Step 5: Solve for x
    x = 70,993,102,686.99/295,243.68
  6. Step 6: Final answer
    x = 240,455.96

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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.