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Finding the Fourth Proportional to 505,294.50, 697,307.76 and 278,940

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Solution

The fourth proportional to 505,294.50, 697,307.76 and 278,940 is: 384,937.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,294.50 : 697,307.76 = 278,940 : x
  2. Step 2: Convert to fraction form
    505,294.50/697,307.76 = 278,940/x
  3. Step 3: Cross multiply
    505,294.50x = 697,307.76 × 278,940
  4. Step 4: Simplify right side
    505,294.50x = 194,507,026,574.40
  5. Step 5: Solve for x
    x = 194,507,026,574.40/505,294.50
  6. Step 6: Final answer
    x = 384,937.95

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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.