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Finding the Fourth Proportional to 517,429.16, 776,216.87 and 180,420.67

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Solution

The fourth proportional to 517,429.16, 776,216.87 and 180,420.67 is: 270,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,429.16 : 776,216.87 = 180,420.67 : x
  2. Step 2: Convert to fraction form
    517,429.16/776,216.87 = 180,420.67/x
  3. Step 3: Cross multiply
    517,429.16x = 776,216.87 × 180,420.67
  4. Step 4: Simplify right side
    517,429.16x = 140,045,565,144.10
  5. Step 5: Solve for x
    x = 140,045,565,144.10/517,429.16
  6. Step 6: Final answer
    x = 270,656.50

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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.