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Finding the Fourth Proportional to 495,870.94, 743,510.76 and 196,394.50

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Solution

The fourth proportional to 495,870.94, 743,510.76 and 196,394.50 is: 294,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,870.94 : 743,510.76 = 196,394.50 : x
  2. Step 2: Convert to fraction form
    495,870.94/743,510.76 = 196,394.50/x
  3. Step 3: Cross multiply
    495,870.94x = 743,510.76 × 196,394.50
  4. Step 4: Simplify right side
    495,870.94x = 146,021,423,954.82
  5. Step 5: Solve for x
    x = 146,021,423,954.82/495,870.94
  6. Step 6: Final answer
    x = 294,474.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.