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Finding the Fourth Proportional to 524,059.60, 786,089.40 and 466,978.90

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Solution

The fourth proportional to 524,059.60, 786,089.40 and 466,978.90 is: 700,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,059.60 : 786,089.40 = 466,978.90 : x
  2. Step 2: Convert to fraction form
    524,059.60/786,089.40 = 466,978.90/x
  3. Step 3: Cross multiply
    524,059.60x = 786,089.40 × 466,978.90
  4. Step 4: Simplify right side
    524,059.60x = 367,087,163,313.66
  5. Step 5: Solve for x
    x = 367,087,163,313.66/524,059.60
  6. Step 6: Final answer
    x = 700,468.35

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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.