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Finding the Fourth Proportional to 524,058.60, 786,087.90 and 466,977.90

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Solution

The fourth proportional to 524,058.60, 786,087.90 and 466,977.90 is: 700,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,058.60 : 786,087.90 = 466,977.90 : x
  2. Step 2: Convert to fraction form
    524,058.60/786,087.90 = 466,977.90/x
  3. Step 3: Cross multiply
    524,058.60x = 786,087.90 × 466,977.90
  4. Step 4: Simplify right side
    524,058.60x = 367,085,676,757.41
  5. Step 5: Solve for x
    x = 367,085,676,757.41/524,058.60
  6. Step 6: Final answer
    x = 700,466.85

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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.