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Finding the Fourth Proportional to 520,014.90, 780,022.35 and 461,954.10

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Solution

The fourth proportional to 520,014.90, 780,022.35 and 461,954.10 is: 692,931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,014.90 : 780,022.35 = 461,954.10 : x
  2. Step 2: Convert to fraction form
    520,014.90/780,022.35 = 461,954.10/x
  3. Step 3: Cross multiply
    520,014.90x = 780,022.35 × 461,954.10
  4. Step 4: Simplify right side
    520,014.90x = 360,334,522,674.14
  5. Step 5: Solve for x
    x = 360,334,522,674.14/520,014.90
  6. Step 6: Final answer
    x = 692,931.15

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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.