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Finding the Fourth Proportional to 409,482.54, 614,345.73 and 295,887.06

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Solution

The fourth proportional to 409,482.54, 614,345.73 and 295,887.06 is: 443,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,482.54 : 614,345.73 = 295,887.06 : x
  2. Step 2: Convert to fraction form
    409,482.54/614,345.73 = 295,887.06/x
  3. Step 3: Cross multiply
    409,482.54x = 614,345.73 × 295,887.06
  4. Step 4: Simplify right side
    409,482.54x = 181,776,951,873.25
  5. Step 5: Solve for x
    x = 181,776,951,873.25/409,482.54
  6. Step 6: Final answer
    x = 443,918.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.