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Finding the Fourth Proportional to 713,103.09, 983,772.98 and 471,722.53

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Solution

The fourth proportional to 713,103.09, 983,772.98 and 471,722.53 is: 650,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,103.09 : 983,772.98 = 471,722.53 : x
  2. Step 2: Convert to fraction form
    713,103.09/983,772.98 = 471,722.53/x
  3. Step 3: Cross multiply
    713,103.09x = 983,772.98 × 471,722.53
  4. Step 4: Simplify right side
    713,103.09x = 464,067,874,152.38
  5. Step 5: Solve for x
    x = 464,067,874,152.38/713,103.09
  6. Step 6: Final answer
    x = 650,772.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.