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Finding the Fourth Proportional to 492,376.40, 737,009.40 and 476,824.40

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Solution

The fourth proportional to 492,376.40, 737,009.40 and 476,824.40 is: 713,730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,376.40 : 737,009.40 = 476,824.40 : x
  2. Step 2: Convert to fraction form
    492,376.40/737,009.40 = 476,824.40/x
  3. Step 3: Cross multiply
    492,376.40x = 737,009.40 × 476,824.40
  4. Step 4: Simplify right side
    492,376.40x = 351,424,064,949.36
  5. Step 5: Solve for x
    x = 351,424,064,949.36/492,376.40
  6. Step 6: Final answer
    x = 713,730.52

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Why These Related Problems?

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