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Finding the Fourth Proportional to 495,948.47, 684,416.39 and 278,205.41

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Solution

The fourth proportional to 495,948.47, 684,416.39 and 278,205.41 is: 383,927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,948.47 : 684,416.39 = 278,205.41 : x
  2. Step 2: Convert to fraction form
    495,948.47/684,416.39 = 278,205.41/x
  3. Step 3: Cross multiply
    495,948.47x = 684,416.39 × 278,205.41
  4. Step 4: Simplify right side
    495,948.47x = 190,408,342,710.68
  5. Step 5: Solve for x
    x = 190,408,342,710.68/495,948.47
  6. Step 6: Final answer
    x = 383,927.68

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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.