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Finding the Fourth Proportional to 525,855.96, 725,719.20 and 299,501.40

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Solution

The fourth proportional to 525,855.96, 725,719.20 and 299,501.40 is: 413,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,855.96 : 725,719.20 = 299,501.40 : x
  2. Step 2: Convert to fraction form
    525,855.96/725,719.20 = 299,501.40/x
  3. Step 3: Cross multiply
    525,855.96x = 725,719.20 × 299,501.40
  4. Step 4: Simplify right side
    525,855.96x = 217,353,916,406.88
  5. Step 5: Solve for x
    x = 217,353,916,406.88/525,855.96
  6. Step 6: Final answer
    x = 413,333.56

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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.