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Finding the Fourth Proportional to 495,948.34, 684,416.20 and 278,205.28

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Solution

The fourth proportional to 495,948.34, 684,416.20 and 278,205.28 is: 383,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,948.34 : 684,416.20 = 278,205.28 : x
  2. Step 2: Convert to fraction form
    495,948.34/684,416.20 = 278,205.28/x
  3. Step 3: Cross multiply
    495,948.34x = 684,416.20 × 278,205.28
  4. Step 4: Simplify right side
    495,948.34x = 190,408,200,557.54
  5. Step 5: Solve for x
    x = 190,408,200,557.54/495,948.34
  6. Step 6: Final answer
    x = 383,927.49

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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.