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Finding the Fourth Proportional to 735,857.51, 1,015,484.18 and 409,167

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Solution

The fourth proportional to 735,857.51, 1,015,484.18 and 409,167 is: 564,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,857.51 : 1,015,484.18 = 409,167 : x
  2. Step 2: Convert to fraction form
    735,857.51/1,015,484.18 = 409,167/x
  3. Step 3: Cross multiply
    735,857.51x = 1,015,484.18 × 409,167
  4. Step 4: Simplify right side
    735,857.51x = 415,502,615,478.06
  5. Step 5: Solve for x
    x = 415,502,615,478.06/735,857.51
  6. Step 6: Final answer
    x = 564,650.91

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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.