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Finding the Fourth Proportional to 624,384.60, 933,812.10 and 524,851.80

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Solution

The fourth proportional to 624,384.60, 933,812.10 and 524,851.80 is: 784,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,384.60 : 933,812.10 = 524,851.80 : x
  2. Step 2: Convert to fraction form
    624,384.60/933,812.10 = 524,851.80/x
  3. Step 3: Cross multiply
    624,384.60x = 933,812.10 × 524,851.80
  4. Step 4: Simplify right side
    624,384.60x = 490,112,961,546.78
  5. Step 5: Solve for x
    x = 490,112,961,546.78/624,384.60
  6. Step 6: Final answer
    x = 784,953.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.