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Finding the Fourth Proportional to 389,418, 537,455.16 and 238,602.48

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Solution

The fourth proportional to 389,418, 537,455.16 and 238,602.48 is: 329,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,418 : 537,455.16 = 238,602.48 : x
  2. Step 2: Convert to fraction form
    389,418/537,455.16 = 238,602.48/x
  3. Step 3: Cross multiply
    389,418x = 537,455.16 × 238,602.48
  4. Step 4: Simplify right side
    389,418x = 128,238,134,064.80
  5. Step 5: Solve for x
    x = 128,238,134,064.80/389,418
  6. Step 6: Final answer
    x = 329,307.16

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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.