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Finding the Fourth Proportional to 378,191.60, 522,038.08 and 337,835.28

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Solution

The fourth proportional to 378,191.60, 522,038.08 and 337,835.28 is: 466,332.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,191.60 : 522,038.08 = 337,835.28 : x
  2. Step 2: Convert to fraction form
    378,191.60/522,038.08 = 337,835.28/x
  3. Step 3: Cross multiply
    378,191.60x = 522,038.08 × 337,835.28
  4. Step 4: Simplify right side
    378,191.60x = 176,362,880,927.46
  5. Step 5: Solve for x
    x = 176,362,880,927.46/378,191.60
  6. Step 6: Final answer
    x = 466,332.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.