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Finding the Fourth Proportional to 501,835.20, 692,514.65 and 284,039.20

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Solution

The fourth proportional to 501,835.20, 692,514.65 and 284,039.20 is: 391,963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,835.20 : 692,514.65 = 284,039.20 : x
  2. Step 2: Convert to fraction form
    501,835.20/692,514.65 = 284,039.20/x
  3. Step 3: Cross multiply
    501,835.20x = 692,514.65 × 284,039.20
  4. Step 4: Simplify right side
    501,835.20x = 196,701,302,291.51
  5. Step 5: Solve for x
    x = 196,701,302,291.51/501,835.20
  6. Step 6: Final answer
    x = 391,963.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.