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Finding the Fourth Proportional to 505,856.06, 698,222.13 and 291,065.33

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Solution

The fourth proportional to 505,856.06, 698,222.13 and 291,065.33 is: 401,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,856.06 : 698,222.13 = 291,065.33 : x
  2. Step 2: Convert to fraction form
    505,856.06/698,222.13 = 291,065.33/x
  3. Step 3: Cross multiply
    505,856.06x = 698,222.13 × 291,065.33
  4. Step 4: Simplify right side
    505,856.06x = 203,228,254,681.75
  5. Step 5: Solve for x
    x = 203,228,254,681.75/505,856.06
  6. Step 6: Final answer
    x = 401,751.15

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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.