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Finding the Fourth Proportional to 684,242, 944,283.12 and 382,436

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Solution

The fourth proportional to 684,242, 944,283.12 and 382,436 is: 527,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,242 : 944,283.12 = 382,436 : x
  2. Step 2: Convert to fraction form
    684,242/944,283.12 = 382,436/x
  3. Step 3: Cross multiply
    684,242x = 944,283.12 × 382,436
  4. Step 4: Simplify right side
    684,242x = 361,127,859,280.32
  5. Step 5: Solve for x
    x = 361,127,859,280.32/684,242
  6. Step 6: Final answer
    x = 527,777.98

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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.