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Finding the Fourth Proportional to 390,148, 538,404.24 and 211,300

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Solution

The fourth proportional to 390,148, 538,404.24 and 211,300 is: 291,594

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,148 : 538,404.24 = 211,300 : x
  2. Step 2: Convert to fraction form
    390,148/538,404.24 = 211,300/x
  3. Step 3: Cross multiply
    390,148x = 538,404.24 × 211,300
  4. Step 4: Simplify right side
    390,148x = 113,764,815,912
  5. Step 5: Solve for x
    x = 113,764,815,912/390,148
  6. Step 6: Final answer
    x = 291,594

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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.