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Finding the Fourth Proportional to 423,272.64, 584,114.22 and 229,680.30

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Solution

The fourth proportional to 423,272.64, 584,114.22 and 229,680.30 is: 316,957.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,272.64 : 584,114.22 = 229,680.30 : x
  2. Step 2: Convert to fraction form
    423,272.64/584,114.22 = 229,680.30/x
  3. Step 3: Cross multiply
    423,272.64x = 584,114.22 × 229,680.30
  4. Step 4: Simplify right side
    423,272.64x = 134,159,529,283.87
  5. Step 5: Solve for x
    x = 134,159,529,283.87/423,272.64
  6. Step 6: Final answer
    x = 316,957.72

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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.