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Finding the Fourth Proportional to 504,971.02, 697,112.52 and 314,045.92

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Solution

The fourth proportional to 504,971.02, 697,112.52 and 314,045.92 is: 433,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,971.02 : 697,112.52 = 314,045.92 : x
  2. Step 2: Convert to fraction form
    504,971.02/697,112.52 = 314,045.92/x
  3. Step 3: Cross multiply
    504,971.02x = 697,112.52 × 314,045.92
  4. Step 4: Simplify right side
    504,971.02x = 218,925,342,686.92
  5. Step 5: Solve for x
    x = 218,925,342,686.92/504,971.02
  6. Step 6: Final answer
    x = 433,540.41

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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.