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Finding the Fourth Proportional to 513,168.58, 708,160.41 and 286,835.14

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Solution

The fourth proportional to 513,168.58, 708,160.41 and 286,835.14 is: 395,825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,168.58 : 708,160.41 = 286,835.14 : x
  2. Step 2: Convert to fraction form
    513,168.58/708,160.41 = 286,835.14/x
  3. Step 3: Cross multiply
    513,168.58x = 708,160.41 × 286,835.14
  4. Step 4: Simplify right side
    513,168.58x = 203,125,290,344.81
  5. Step 5: Solve for x
    x = 203,125,290,344.81/513,168.58
  6. Step 6: Final answer
    x = 395,825.66

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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.