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Finding the Fourth Proportional to 413,069.08, 619,668.48 and 176,413

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Solution

The fourth proportional to 413,069.08, 619,668.48 and 176,413 is: 264,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,069.08 : 619,668.48 = 176,413 : x
  2. Step 2: Convert to fraction form
    413,069.08/619,668.48 = 176,413/x
  3. Step 3: Cross multiply
    413,069.08x = 619,668.48 × 176,413
  4. Step 4: Simplify right side
    413,069.08x = 109,317,575,562.24
  5. Step 5: Solve for x
    x = 109,317,575,562.24/413,069.08
  6. Step 6: Final answer
    x = 264,647.20

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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.