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Finding the Fourth Proportional to 692,896, 956,199.36 and 374,944

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Solution

The fourth proportional to 692,896, 956,199.36 and 374,944 is: 517,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,896 : 956,199.36 = 374,944 : x
  2. Step 2: Convert to fraction form
    692,896/956,199.36 = 374,944/x
  3. Step 3: Cross multiply
    692,896x = 956,199.36 × 374,944
  4. Step 4: Simplify right side
    692,896x = 358,521,212,835.84
  5. Step 5: Solve for x
    x = 358,521,212,835.84/692,896
  6. Step 6: Final answer
    x = 517,424.28

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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.