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Finding the Fourth Proportional to 257,411.51, 354,834.14 and 180,715.44

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Solution

The fourth proportional to 257,411.51, 354,834.14 and 180,715.44 is: 249,110.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,411.51 : 354,834.14 = 180,715.44 : x
  2. Step 2: Convert to fraction form
    257,411.51/354,834.14 = 180,715.44/x
  3. Step 3: Cross multiply
    257,411.51x = 354,834.14 × 180,715.44
  4. Step 4: Simplify right side
    257,411.51x = 64,124,008,164.17
  5. Step 5: Solve for x
    x = 64,124,008,164.17/257,411.51
  6. Step 6: Final answer
    x = 249,110.88

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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.