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Finding the Fourth Proportional to 829,453.10, 1,144,509.06 and 480,469.41

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Solution

The fourth proportional to 829,453.10, 1,144,509.06 and 480,469.41 is: 662,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,453.10 : 1,144,509.06 = 480,469.41 : x
  2. Step 2: Convert to fraction form
    829,453.10/1,144,509.06 = 480,469.41/x
  3. Step 3: Cross multiply
    829,453.10x = 1,144,509.06 × 480,469.41
  4. Step 4: Simplify right side
    829,453.10x = 549,901,590,395.51
  5. Step 5: Solve for x
    x = 549,901,590,395.51/829,453.10
  6. Step 6: Final answer
    x = 662,968.88

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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.