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Finding the Fourth Proportional to 452,202.50, 624,041.88 and 282,535.04

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Solution

The fourth proportional to 452,202.50, 624,041.88 and 282,535.04 is: 389,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,202.50 : 624,041.88 = 282,535.04 : x
  2. Step 2: Convert to fraction form
    452,202.50/624,041.88 = 282,535.04/x
  3. Step 3: Cross multiply
    452,202.50x = 624,041.88 × 282,535.04
  4. Step 4: Simplify right side
    452,202.50x = 176,313,697,527.48
  5. Step 5: Solve for x
    x = 176,313,697,527.48/452,202.50
  6. Step 6: Final answer
    x = 389,899.87

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Why These Related Problems?

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