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Finding the Fourth Proportional to 282,254.40, 423,557.28 and 175,847.40

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Solution

The fourth proportional to 282,254.40, 423,557.28 and 175,847.40 is: 263,880.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,254.40 : 423,557.28 = 175,847.40 : x
  2. Step 2: Convert to fraction form
    282,254.40/423,557.28 = 175,847.40/x
  3. Step 3: Cross multiply
    282,254.40x = 423,557.28 × 175,847.40
  4. Step 4: Simplify right side
    282,254.40x = 74,481,446,439.07
  5. Step 5: Solve for x
    x = 74,481,446,439.07/282,254.40
  6. Step 6: Final answer
    x = 263,880.55

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1.5x scale

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.