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Finding the Fourth Proportional to 456,527.52, 683,458.80 and 266,405.28

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Solution

The fourth proportional to 456,527.52, 683,458.80 and 266,405.28 is: 398,830.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,527.52 : 683,458.80 = 266,405.28 : x
  2. Step 2: Convert to fraction form
    456,527.52/683,458.80 = 266,405.28/x
  3. Step 3: Cross multiply
    456,527.52x = 683,458.80 × 266,405.28
  4. Step 4: Simplify right side
    456,527.52x = 182,077,032,982.46
  5. Step 5: Solve for x
    x = 182,077,032,982.46/456,527.52
  6. Step 6: Final answer
    x = 398,830.36

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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.