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Finding the Fourth Proportional to 520,056.30, 780,084.45 and 461,007.30

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Solution

The fourth proportional to 520,056.30, 780,084.45 and 461,007.30 is: 691,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,056.30 : 780,084.45 = 461,007.30 : x
  2. Step 2: Convert to fraction form
    520,056.30/780,084.45 = 461,007.30/x
  3. Step 3: Cross multiply
    520,056.30x = 780,084.45 × 461,007.30
  4. Step 4: Simplify right side
    520,056.30x = 359,624,626,066.49
  5. Step 5: Solve for x
    x = 359,624,626,066.49/520,056.30
  6. Step 6: Final answer
    x = 691,510.95

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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.