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Finding the Fourth Proportional to 412,999.42, 569,973.55 and 229,255.28

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Solution

The fourth proportional to 412,999.42, 569,973.55 and 229,255.28 is: 316,391.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,999.42 : 569,973.55 = 229,255.28 : x
  2. Step 2: Convert to fraction form
    412,999.42/569,973.55 = 229,255.28/x
  3. Step 3: Cross multiply
    412,999.42x = 569,973.55 × 229,255.28
  4. Step 4: Simplify right side
    412,999.42x = 130,669,447,509.35
  5. Step 5: Solve for x
    x = 130,669,447,509.35/412,999.42
  6. Step 6: Final answer
    x = 316,391.36

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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.