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Finding the Fourth Proportional to 413,695.80, 570,880.98 and 229,925.82

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Solution

The fourth proportional to 413,695.80, 570,880.98 and 229,925.82 is: 317,286.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,695.80 : 570,880.98 = 229,925.82 : x
  2. Step 2: Convert to fraction form
    413,695.80/570,880.98 = 229,925.82/x
  3. Step 3: Cross multiply
    413,695.80x = 570,880.98 × 229,925.82
  4. Step 4: Simplify right side
    413,695.80x = 131,260,277,448.90
  5. Step 5: Solve for x
    x = 131,260,277,448.90/413,695.80
  6. Step 6: Final answer
    x = 317,286.95

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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.