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Finding the Fourth Proportional to 491,645.30, 678,312.09 and 298,130.63

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Solution

The fourth proportional to 491,645.30, 678,312.09 and 298,130.63 is: 411,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,645.30 : 678,312.09 = 298,130.63 : x
  2. Step 2: Convert to fraction form
    491,645.30/678,312.09 = 298,130.63/x
  3. Step 3: Cross multiply
    491,645.30x = 678,312.09 × 298,130.63
  4. Step 4: Simplify right side
    491,645.30x = 202,225,607,336.76
  5. Step 5: Solve for x
    x = 202,225,607,336.76/491,645.30
  6. Step 6: Final answer
    x = 411,324.20

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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.