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Finding the Fourth Proportional to 505,868.58, 698,038.92 and 301,881.78

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Solution

The fourth proportional to 505,868.58, 698,038.92 and 301,881.78 is: 416,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,868.58 : 698,038.92 = 301,881.78 : x
  2. Step 2: Convert to fraction form
    505,868.58/698,038.92 = 301,881.78/x
  3. Step 3: Cross multiply
    505,868.58x = 698,038.92 × 301,881.78
  4. Step 4: Simplify right side
    505,868.58x = 210,725,231,678.88
  5. Step 5: Solve for x
    x = 210,725,231,678.88/505,868.58
  6. Step 6: Final answer
    x = 416,561.22

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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.