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Finding the Fourth Proportional to 302,653.35, 417,630.71 and 186,348.35

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Solution

The fourth proportional to 302,653.35, 417,630.71 and 186,348.35 is: 257,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,653.35 : 417,630.71 = 186,348.35 : x
  2. Step 2: Convert to fraction form
    302,653.35/417,630.71 = 186,348.35/x
  3. Step 3: Cross multiply
    302,653.35x = 417,630.71 × 186,348.35
  4. Step 4: Simplify right side
    302,653.35x = 77,824,795,227.78
  5. Step 5: Solve for x
    x = 77,824,795,227.78/302,653.35
  6. Step 6: Final answer
    x = 257,141.69

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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.