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Finding the Fourth Proportional to 282,513.80, 423,114.60 and 193,284.20

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Solution

The fourth proportional to 282,513.80, 423,114.60 and 193,284.20 is: 289,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,513.80 : 423,114.60 = 193,284.20 : x
  2. Step 2: Convert to fraction form
    282,513.80/423,114.60 = 193,284.20/x
  3. Step 3: Cross multiply
    282,513.80x = 423,114.60 × 193,284.20
  4. Step 4: Simplify right side
    282,513.80x = 81,781,366,969.32
  5. Step 5: Solve for x
    x = 81,781,366,969.32/282,513.80
  6. Step 6: Final answer
    x = 289,477.42

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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.