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Finding the Fourth Proportional to 477,181.08, 658,509.66 and 262,335

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Solution

The fourth proportional to 477,181.08, 658,509.66 and 262,335 is: 362,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,181.08 : 658,509.66 = 262,335 : x
  2. Step 2: Convert to fraction form
    477,181.08/658,509.66 = 262,335/x
  3. Step 3: Cross multiply
    477,181.08x = 658,509.66 × 262,335
  4. Step 4: Simplify right side
    477,181.08x = 172,750,131,656.10
  5. Step 5: Solve for x
    x = 172,750,131,656.10/477,181.08
  6. Step 6: Final answer
    x = 362,022.17

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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.