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Finding the Fourth Proportional to 261,415.54, 360,465.28 and 180,702.94

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Solution

The fourth proportional to 261,415.54, 360,465.28 and 180,702.94 is: 249,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,415.54 : 360,465.28 = 180,702.94 : x
  2. Step 2: Convert to fraction form
    261,415.54/360,465.28 = 180,702.94/x
  3. Step 3: Cross multiply
    261,415.54x = 360,465.28 × 180,702.94
  4. Step 4: Simplify right side
    261,415.54x = 65,137,135,863.92
  5. Step 5: Solve for x
    x = 65,137,135,863.92/261,415.54
  6. Step 6: Final answer
    x = 249,170.86

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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.