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Finding the Fourth Proportional to 435,904.14, 654,840.51 and 258,527.52

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Solution

The fourth proportional to 435,904.14, 654,840.51 and 258,527.52 is: 388,375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,904.14 : 654,840.51 = 258,527.52 : x
  2. Step 2: Convert to fraction form
    435,904.14/654,840.51 = 258,527.52/x
  3. Step 3: Cross multiply
    435,904.14x = 654,840.51 × 258,527.52
  4. Step 4: Simplify right side
    435,904.14x = 169,294,293,045.84
  5. Step 5: Solve for x
    x = 169,294,293,045.84/435,904.14
  6. Step 6: Final answer
    x = 388,375.05

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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.