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Finding the Fourth Proportional to 643,853.20, 965,779.80 and 405,907.60

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Solution

The fourth proportional to 643,853.20, 965,779.80 and 405,907.60 is: 608,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,853.20 : 965,779.80 = 405,907.60 : x
  2. Step 2: Convert to fraction form
    643,853.20/965,779.80 = 405,907.60/x
  3. Step 3: Cross multiply
    643,853.20x = 965,779.80 × 405,907.60
  4. Step 4: Simplify right side
    643,853.20x = 392,017,360,746.48
  5. Step 5: Solve for x
    x = 392,017,360,746.48/643,853.20
  6. Step 6: Final answer
    x = 608,861.40

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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.