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Finding the Fourth Proportional to 477,294.84, 658,667.16 and 262,449.36

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Solution

The fourth proportional to 477,294.84, 658,667.16 and 262,449.36 is: 362,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,294.84 : 658,667.16 = 262,449.36 : x
  2. Step 2: Convert to fraction form
    477,294.84/658,667.16 = 262,449.36/x
  3. Step 3: Cross multiply
    477,294.84x = 658,667.16 × 262,449.36
  4. Step 4: Simplify right side
    477,294.84x = 172,866,774,595.02
  5. Step 5: Solve for x
    x = 172,866,774,595.02/477,294.84
  6. Step 6: Final answer
    x = 362,180.27

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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.