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Finding the Fourth Proportional to 415,875.40, 623,807.34 and 100,329.64

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Solution

The fourth proportional to 415,875.40, 623,807.34 and 100,329.64 is: 150,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,875.40 : 623,807.34 = 100,329.64 : x
  2. Step 2: Convert to fraction form
    415,875.40/623,807.34 = 100,329.64/x
  3. Step 3: Cross multiply
    415,875.40x = 623,807.34 × 100,329.64
  4. Step 4: Simplify right side
    415,875.40x = 62,586,365,851.56
  5. Step 5: Solve for x
    x = 62,586,365,851.56/415,875.40
  6. Step 6: Final answer
    x = 150,493.07

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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.