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Finding the Fourth Proportional to 412,951.35, 570,117.16 and 260,120.55

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Solution

The fourth proportional to 412,951.35, 570,117.16 and 260,120.55 is: 359,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,951.35 : 570,117.16 = 260,120.55 : x
  2. Step 2: Convert to fraction form
    412,951.35/570,117.16 = 260,120.55/x
  3. Step 3: Cross multiply
    412,951.35x = 570,117.16 × 260,120.55
  4. Step 4: Simplify right side
    412,951.35x = 148,299,189,223.64
  5. Step 5: Solve for x
    x = 148,299,189,223.64/412,951.35
  6. Step 6: Final answer
    x = 359,120.24

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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.