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Finding the Fourth Proportional to 923,904, 1,274,987.52 and 499,968

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Solution

The fourth proportional to 923,904, 1,274,987.52 and 499,968 is: 689,955.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,904 : 1,274,987.52 = 499,968 : x
  2. Step 2: Convert to fraction form
    923,904/1,274,987.52 = 499,968/x
  3. Step 3: Cross multiply
    923,904x = 1,274,987.52 × 499,968
  4. Step 4: Simplify right side
    923,904x = 637,452,960,399.36
  5. Step 5: Solve for x
    x = 637,452,960,399.36/923,904
  6. Step 6: Final answer
    x = 689,955.84

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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.