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Finding the Fourth Proportional to 511,459.82, 705,852.96 and 296,598.02

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Solution

The fourth proportional to 511,459.82, 705,852.96 and 296,598.02 is: 409,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,459.82 : 705,852.96 = 296,598.02 : x
  2. Step 2: Convert to fraction form
    511,459.82/705,852.96 = 296,598.02/x
  3. Step 3: Cross multiply
    511,459.82x = 705,852.96 × 296,598.02
  4. Step 4: Simplify right side
    511,459.82x = 209,354,590,347.14
  5. Step 5: Solve for x
    x = 209,354,590,347.14/511,459.82
  6. Step 6: Final answer
    x = 409,327.54

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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.