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Finding the Fourth Proportional to 310,703.60, 462,334.06 and 309,653.84

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Solution

The fourth proportional to 310,703.60, 462,334.06 and 309,653.84 is: 460,771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,703.60 : 462,334.06 = 309,653.84 : x
  2. Step 2: Convert to fraction form
    310,703.60/462,334.06 = 309,653.84/x
  3. Step 3: Cross multiply
    310,703.60x = 462,334.06 × 309,653.84
  4. Step 4: Simplify right side
    310,703.60x = 143,163,517,041.79
  5. Step 5: Solve for x
    x = 143,163,517,041.79/310,703.60
  6. Step 6: Final answer
    x = 460,771.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.