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Finding the Fourth Proportional to 256,574.37, 353,841.84 and 165,834.93

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Solution

The fourth proportional to 256,574.37, 353,841.84 and 165,834.93 is: 228,703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,574.37 : 353,841.84 = 165,834.93 : x
  2. Step 2: Convert to fraction form
    256,574.37/353,841.84 = 165,834.93/x
  3. Step 3: Cross multiply
    256,574.37x = 353,841.84 × 165,834.93
  4. Step 4: Simplify right side
    256,574.37x = 58,679,336,767.47
  5. Step 5: Solve for x
    x = 58,679,336,767.47/256,574.37
  6. Step 6: Final answer
    x = 228,703.03

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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.