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Finding the Fourth Proportional to 458,530.54, 687,482.07 and 233,455.42

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Solution

The fourth proportional to 458,530.54, 687,482.07 and 233,455.42 is: 350,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,530.54 : 687,482.07 = 233,455.42 : x
  2. Step 2: Convert to fraction form
    458,530.54/687,482.07 = 233,455.42/x
  3. Step 3: Cross multiply
    458,530.54x = 687,482.07 × 233,455.42
  4. Step 4: Simplify right side
    458,530.54x = 160,496,415,394.32
  5. Step 5: Solve for x
    x = 160,496,415,394.32/458,530.54
  6. Step 6: Final answer
    x = 350,023.39

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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.