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Finding the Fourth Proportional to 310,089.04, 464,455.40 and 219,858.24

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Solution

The fourth proportional to 310,089.04, 464,455.40 and 219,858.24 is: 329,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,089.04 : 464,455.40 = 219,858.24 : x
  2. Step 2: Convert to fraction form
    310,089.04/464,455.40 = 219,858.24/x
  3. Step 3: Cross multiply
    310,089.04x = 464,455.40 × 219,858.24
  4. Step 4: Simplify right side
    310,089.04x = 102,114,346,802.50
  5. Step 5: Solve for x
    x = 102,114,346,802.50/310,089.04
  6. Step 6: Final answer
    x = 329,306.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.