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Finding the Fourth Proportional to 719,979.30, 993,698.82 and 414,031.50

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Solution

The fourth proportional to 719,979.30, 993,698.82 and 414,031.50 is: 571,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,979.30 : 993,698.82 = 414,031.50 : x
  2. Step 2: Convert to fraction form
    719,979.30/993,698.82 = 414,031.50/x
  3. Step 3: Cross multiply
    719,979.30x = 993,698.82 × 414,031.50
  4. Step 4: Simplify right side
    719,979.30x = 411,422,612,992.83
  5. Step 5: Solve for x
    x = 411,422,612,992.83/719,979.30
  6. Step 6: Final answer
    x = 571,436.72

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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.