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Finding the Fourth Proportional to 390,412.53, 538,746.93 and 215,972.31

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Solution

The fourth proportional to 390,412.53, 538,746.93 and 215,972.31 is: 298,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,412.53 : 538,746.93 = 215,972.31 : x
  2. Step 2: Convert to fraction form
    390,412.53/538,746.93 = 215,972.31/x
  3. Step 3: Cross multiply
    390,412.53x = 538,746.93 × 215,972.31
  4. Step 4: Simplify right side
    390,412.53x = 116,354,418,977.51
  5. Step 5: Solve for x
    x = 116,354,418,977.51/390,412.53
  6. Step 6: Final answer
    x = 298,029.42

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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.