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Finding the Fourth Proportional to 302,757.60, 417,774.12 and 186,452.66

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Solution

The fourth proportional to 302,757.60, 417,774.12 and 186,452.66 is: 257,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,757.60 : 417,774.12 = 186,452.66 : x
  2. Step 2: Convert to fraction form
    302,757.60/417,774.12 = 186,452.66/x
  3. Step 3: Cross multiply
    302,757.60x = 417,774.12 × 186,452.66
  4. Step 4: Simplify right side
    302,757.60x = 77,895,095,953.16
  5. Step 5: Solve for x
    x = 77,895,095,953.16/302,757.60
  6. Step 6: Final answer
    x = 257,285.35

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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.