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Finding the Fourth Proportional to 510,590.04, 704,614 and 284,289

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Solution

The fourth proportional to 510,590.04, 704,614 and 284,289 is: 392,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,590.04 : 704,614 = 284,289 : x
  2. Step 2: Convert to fraction form
    510,590.04/704,614 = 284,289/x
  3. Step 3: Cross multiply
    510,590.04x = 704,614 × 284,289
  4. Step 4: Simplify right side
    510,590.04x = 200,314,009,446
  5. Step 5: Solve for x
    x = 200,314,009,446/510,590.04
  6. Step 6: Final answer
    x = 392,318.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.