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Finding the Fourth Proportional to 525,643.40, 788,465.10 and 327,225.80

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Solution

The fourth proportional to 525,643.40, 788,465.10 and 327,225.80 is: 490,838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,643.40 : 788,465.10 = 327,225.80 : x
  2. Step 2: Convert to fraction form
    525,643.40/788,465.10 = 327,225.80/x
  3. Step 3: Cross multiply
    525,643.40x = 788,465.10 × 327,225.80
  4. Step 4: Simplify right side
    525,643.40x = 258,006,123,119.58
  5. Step 5: Solve for x
    x = 258,006,123,119.58/525,643.40
  6. Step 6: Final answer
    x = 490,838.70

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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.