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Finding the Fourth Proportional to 713,980.20, 1,070,401.98 and 353,897.64

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Solution

The fourth proportional to 713,980.20, 1,070,401.98 and 353,897.64 is: 530,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,980.20 : 1,070,401.98 = 353,897.64 : x
  2. Step 2: Convert to fraction form
    713,980.20/1,070,401.98 = 353,897.64/x
  3. Step 3: Cross multiply
    713,980.20x = 1,070,401.98 × 353,897.64
  4. Step 4: Simplify right side
    713,980.20x = 378,812,734,573.33
  5. Step 5: Solve for x
    x = 378,812,734,573.33/713,980.20
  6. Step 6: Final answer
    x = 530,564.76

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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.