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Finding the Fourth Proportional to 473,232.54, 652,563.72 and 311,881.20

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Solution

The fourth proportional to 473,232.54, 652,563.72 and 311,881.20 is: 430,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,232.54 : 652,563.72 = 311,881.20 : x
  2. Step 2: Convert to fraction form
    473,232.54/652,563.72 = 311,881.20/x
  3. Step 3: Cross multiply
    473,232.54x = 652,563.72 × 311,881.20
  4. Step 4: Simplify right side
    473,232.54x = 203,522,356,070.06
  5. Step 5: Solve for x
    x = 203,522,356,070.06/473,232.54
  6. Step 6: Final answer
    x = 430,068.39

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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.