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Finding the Fourth Proportional to 330,023, 495,242.74 and 140,483.08

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Solution

The fourth proportional to 330,023, 495,242.74 and 140,483.08 is: 210,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,023 : 495,242.74 = 140,483.08 : x
  2. Step 2: Convert to fraction form
    330,023/495,242.74 = 140,483.08/x
  3. Step 3: Cross multiply
    330,023x = 495,242.74 × 140,483.08
  4. Step 4: Simplify right side
    330,023x = 69,573,225,462.84
  5. Step 5: Solve for x
    x = 69,573,225,462.84/330,023
  6. Step 6: Final answer
    x = 210,813.26

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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.