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Finding the Fourth Proportional to 341,125.75, 470,698.05 and 205,127.02

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Solution

The fourth proportional to 341,125.75, 470,698.05 and 205,127.02 is: 283,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,125.75 : 470,698.05 = 205,127.02 : x
  2. Step 2: Convert to fraction form
    341,125.75/470,698.05 = 205,127.02/x
  3. Step 3: Cross multiply
    341,125.75x = 470,698.05 × 205,127.02
  4. Step 4: Simplify right side
    341,125.75x = 96,552,888,316.31
  5. Step 5: Solve for x
    x = 96,552,888,316.31/341,125.75
  6. Step 6: Final answer
    x = 283,041.92

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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.