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Finding the Fourth Proportional to 411,403.84, 567,575.04 and 258,352

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Solution

The fourth proportional to 411,403.84, 567,575.04 and 258,352 is: 356,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,403.84 : 567,575.04 = 258,352 : x
  2. Step 2: Convert to fraction form
    411,403.84/567,575.04 = 258,352/x
  3. Step 3: Cross multiply
    411,403.84x = 567,575.04 × 258,352
  4. Step 4: Simplify right side
    411,403.84x = 146,634,146,734.08
  5. Step 5: Solve for x
    x = 146,634,146,734.08/411,403.84
  6. Step 6: Final answer
    x = 356,423.87

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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.