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Finding the Fourth Proportional to 540,823.95, 746,330.40 and 299,102.13

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Solution

The fourth proportional to 540,823.95, 746,330.40 and 299,102.13 is: 412,757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,823.95 : 746,330.40 = 299,102.13 : x
  2. Step 2: Convert to fraction form
    540,823.95/746,330.40 = 299,102.13/x
  3. Step 3: Cross multiply
    540,823.95x = 746,330.40 × 299,102.13
  4. Step 4: Simplify right side
    540,823.95x = 223,229,012,323.75
  5. Step 5: Solve for x
    x = 223,229,012,323.75/540,823.95
  6. Step 6: Final answer
    x = 412,757.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.