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Finding the Fourth Proportional to 390,180, 538,448.40 and 211,332

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Solution

The fourth proportional to 390,180, 538,448.40 and 211,332 is: 291,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,180 : 538,448.40 = 211,332 : x
  2. Step 2: Convert to fraction form
    390,180/538,448.40 = 211,332/x
  3. Step 3: Cross multiply
    390,180x = 538,448.40 × 211,332
  4. Step 4: Simplify right side
    390,180x = 113,791,377,268.80
  5. Step 5: Solve for x
    x = 113,791,377,268.80/390,180
  6. Step 6: Final answer
    x = 291,638.16

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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.