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Finding the Fourth Proportional to 578,893.40, 866,496.90 and 413,005.40

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Solution

The fourth proportional to 578,893.40, 866,496.90 and 413,005.40 is: 618,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,893.40 : 866,496.90 = 413,005.40 : x
  2. Step 2: Convert to fraction form
    578,893.40/866,496.90 = 413,005.40/x
  3. Step 3: Cross multiply
    578,893.40x = 866,496.90 × 413,005.40
  4. Step 4: Simplify right side
    578,893.40x = 357,867,898,783.26
  5. Step 5: Solve for x
    x = 357,867,898,783.26/578,893.40
  6. Step 6: Final answer
    x = 618,193.09

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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.