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Finding the Fourth Proportional to 668,784.88, 923,355.48 and 414,406

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Solution

The fourth proportional to 668,784.88, 923,355.48 and 414,406 is: 572,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,784.88 : 923,355.48 = 414,406 : x
  2. Step 2: Convert to fraction form
    668,784.88/923,355.48 = 414,406/x
  3. Step 3: Cross multiply
    668,784.88x = 923,355.48 × 414,406
  4. Step 4: Simplify right side
    668,784.88x = 382,644,051,044.88
  5. Step 5: Solve for x
    x = 382,644,051,044.88/668,784.88
  6. Step 6: Final answer
    x = 572,148.18

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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.