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Finding the Fourth Proportional to 461,424.10, 692,136.15 and 461,424.10

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Solution

The fourth proportional to 461,424.10, 692,136.15 and 461,424.10 is: 692,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,424.10 : 692,136.15 = 461,424.10 : x
  2. Step 2: Convert to fraction form
    461,424.10/692,136.15 = 461,424.10/x
  3. Step 3: Cross multiply
    461,424.10x = 692,136.15 × 461,424.10
  4. Step 4: Simplify right side
    461,424.10x = 319,368,300,091.22
  5. Step 5: Solve for x
    x = 319,368,300,091.22/461,424.10
  6. Step 6: Final answer
    x = 692,136.15

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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.