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Finding the Fourth Proportional to 464,965.60, 697,448.40 and 329,152.90

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Solution

The fourth proportional to 464,965.60, 697,448.40 and 329,152.90 is: 493,729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,965.60 : 697,448.40 = 329,152.90 : x
  2. Step 2: Convert to fraction form
    464,965.60/697,448.40 = 329,152.90/x
  3. Step 3: Cross multiply
    464,965.60x = 697,448.40 × 329,152.90
  4. Step 4: Simplify right side
    464,965.60x = 229,567,163,460.36
  5. Step 5: Solve for x
    x = 229,567,163,460.36/464,965.60
  6. Step 6: Final answer
    x = 493,729.35

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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.