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Finding the Fourth Proportional to 495,478.88, 743,246.58 and 140,465

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Solution

The fourth proportional to 495,478.88, 743,246.58 and 140,465 is: 210,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,478.88 : 743,246.58 = 140,465 : x
  2. Step 2: Convert to fraction form
    495,478.88/743,246.58 = 140,465/x
  3. Step 3: Cross multiply
    495,478.88x = 743,246.58 × 140,465
  4. Step 4: Simplify right side
    495,478.88x = 104,400,130,859.70
  5. Step 5: Solve for x
    x = 104,400,130,859.70/495,478.88
  6. Step 6: Final answer
    x = 210,705.51

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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.