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Finding the Fourth Proportional to 385,907.40, 532,580.40 and 232,983.18

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Solution

The fourth proportional to 385,907.40, 532,580.40 and 232,983.18 is: 321,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,907.40 : 532,580.40 = 232,983.18 : x
  2. Step 2: Convert to fraction form
    385,907.40/532,580.40 = 232,983.18/x
  3. Step 3: Cross multiply
    385,907.40x = 532,580.40 × 232,983.18
  4. Step 4: Simplify right side
    385,907.40x = 124,082,275,197.67
  5. Step 5: Solve for x
    x = 124,082,275,197.67/385,907.40
  6. Step 6: Final answer
    x = 321,533.81

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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.