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Finding the Fourth Proportional to 478,038.40, 716,889.92 and 140,989.44

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Solution

The fourth proportional to 478,038.40, 716,889.92 and 140,989.44 is: 211,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,038.40 : 716,889.92 = 140,989.44 : x
  2. Step 2: Convert to fraction form
    478,038.40/716,889.92 = 140,989.44/x
  3. Step 3: Cross multiply
    478,038.40x = 716,889.92 × 140,989.44
  4. Step 4: Simplify right side
    478,038.40x = 101,073,908,362.45
  5. Step 5: Solve for x
    x = 101,073,908,362.45/478,038.40
  6. Step 6: Final answer
    x = 211,434.71

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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.