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Finding the Fourth Proportional to 295,533.16, 407,812.71 and 174,651.46

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Solution

The fourth proportional to 295,533.16, 407,812.71 and 174,651.46 is: 241,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,533.16 : 407,812.71 = 174,651.46 : x
  2. Step 2: Convert to fraction form
    295,533.16/407,812.71 = 174,651.46/x
  3. Step 3: Cross multiply
    295,533.16x = 407,812.71 × 174,651.46
  4. Step 4: Simplify right side
    295,533.16x = 71,225,085,208.06
  5. Step 5: Solve for x
    x = 71,225,085,208.06/295,533.16
  6. Step 6: Final answer
    x = 241,005.39

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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.