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Finding the Fourth Proportional to 524,851.95, 786,740.33 and 258,202.35

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Solution

The fourth proportional to 524,851.95, 786,740.33 and 258,202.35 is: 387,039.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,851.95 : 786,740.33 = 258,202.35 : x
  2. Step 2: Convert to fraction form
    524,851.95/786,740.33 = 258,202.35/x
  3. Step 3: Cross multiply
    524,851.95x = 786,740.33 × 258,202.35
  4. Step 4: Simplify right side
    524,851.95x = 203,138,200,754.76
  5. Step 5: Solve for x
    x = 203,138,200,754.76/524,851.95
  6. Step 6: Final answer
    x = 387,039.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.