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Finding the Fourth Proportional to 282,683.69, 390,194.38 and 180,983.06

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Solution

The fourth proportional to 282,683.69, 390,194.38 and 180,983.06 is: 249,814.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,683.69 : 390,194.38 = 180,983.06 : x
  2. Step 2: Convert to fraction form
    282,683.69/390,194.38 = 180,983.06/x
  3. Step 3: Cross multiply
    282,683.69x = 390,194.38 × 180,983.06
  4. Step 4: Simplify right side
    282,683.69x = 70,618,572,625.69
  5. Step 5: Solve for x
    x = 70,618,572,625.69/282,683.69
  6. Step 6: Final answer
    x = 249,814.81

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1.5x scale

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.