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Finding the Fourth Proportional to 341,186.48, 470,838.16 and 190,293.20

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Solution

The fourth proportional to 341,186.48, 470,838.16 and 190,293.20 is: 262,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,186.48 : 470,838.16 = 190,293.20 : x
  2. Step 2: Convert to fraction form
    341,186.48/470,838.16 = 190,293.20/x
  3. Step 3: Cross multiply
    341,186.48x = 470,838.16 × 190,293.20
  4. Step 4: Simplify right side
    341,186.48x = 89,597,300,148.51
  5. Step 5: Solve for x
    x = 89,597,300,148.51/341,186.48
  6. Step 6: Final answer
    x = 262,605.07

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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.