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Finding the Fourth Proportional to 262,395.12, 362,308.71 and 204,934.14

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Solution

The fourth proportional to 262,395.12, 362,308.71 and 204,934.14 is: 282,968.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,395.12 : 362,308.71 = 204,934.14 : x
  2. Step 2: Convert to fraction form
    262,395.12/362,308.71 = 204,934.14/x
  3. Step 3: Cross multiply
    262,395.12x = 362,308.71 × 204,934.14
  4. Step 4: Simplify right side
    262,395.12x = 74,249,423,898.36
  5. Step 5: Solve for x
    x = 74,249,423,898.36/262,395.12
  6. Step 6: Final answer
    x = 282,968.01

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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.