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Finding the Fourth Proportional to 369,182.96, 509,472.50 and 199,417.08

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Solution

The fourth proportional to 369,182.96, 509,472.50 and 199,417.08 is: 275,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,182.96 : 509,472.50 = 199,417.08 : x
  2. Step 2: Convert to fraction form
    369,182.96/509,472.50 = 199,417.08/x
  3. Step 3: Cross multiply
    369,182.96x = 509,472.50 × 199,417.08
  4. Step 4: Simplify right side
    369,182.96x = 101,597,518,290.30
  5. Step 5: Solve for x
    x = 101,597,518,290.30/369,182.96
  6. Step 6: Final answer
    x = 275,195.58

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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.