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Finding the Fourth Proportional to 256,465.94, 353,599.17 and 165,668.18

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Solution

The fourth proportional to 256,465.94, 353,599.17 and 165,668.18 is: 228,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,465.94 : 353,599.17 = 165,668.18 : x
  2. Step 2: Convert to fraction form
    256,465.94/353,599.17 = 165,668.18/x
  3. Step 3: Cross multiply
    256,465.94x = 353,599.17 × 165,668.18
  4. Step 4: Simplify right side
    256,465.94x = 58,580,130,943.41
  5. Step 5: Solve for x
    x = 58,580,130,943.41/256,465.94
  6. Step 6: Final answer
    x = 228,412.91

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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.