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Finding the Fourth Proportional to 668,783.88, 923,354.10 and 414,405

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Solution

The fourth proportional to 668,783.88, 923,354.10 and 414,405 is: 572,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,783.88 : 923,354.10 = 414,405 : x
  2. Step 2: Convert to fraction form
    668,783.88/923,354.10 = 414,405/x
  3. Step 3: Cross multiply
    668,783.88x = 923,354.10 × 414,405
  4. Step 4: Simplify right side
    668,783.88x = 382,642,555,810.50
  5. Step 5: Solve for x
    x = 382,642,555,810.50/668,783.88
  6. Step 6: Final answer
    x = 572,146.80

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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.