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Finding the Fourth Proportional to 349,427.89, 524,414 and 243,557.65

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Solution

The fourth proportional to 349,427.89, 524,414 and 243,557.65 is: 365,526.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,427.89 : 524,414 = 243,557.65 : x
  2. Step 2: Convert to fraction form
    349,427.89/524,414 = 243,557.65/x
  3. Step 3: Cross multiply
    349,427.89x = 524,414 × 243,557.65
  4. Step 4: Simplify right side
    349,427.89x = 127,725,041,467.10
  5. Step 5: Solve for x
    x = 127,725,041,467.10/349,427.89
  6. Step 6: Final answer
    x = 365,526.18

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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.