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Finding the Fourth Proportional to 409,579.04, 614,368.04 and 110,059.63

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Solution

The fourth proportional to 409,579.04, 614,368.04 and 110,059.63 is: 165,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,579.04 : 614,368.04 = 110,059.63 : x
  2. Step 2: Convert to fraction form
    409,579.04/614,368.04 = 110,059.63/x
  3. Step 3: Cross multiply
    409,579.04x = 614,368.04 × 110,059.63
  4. Step 4: Simplify right side
    409,579.04x = 67,617,116,518.41
  5. Step 5: Solve for x
    x = 67,617,116,518.41/409,579.04
  6. Step 6: Final answer
    x = 165,089.30

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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.