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Finding the Fourth Proportional to 597,624.64, 824,722 and 329,352.64

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Solution

The fourth proportional to 597,624.64, 824,722 and 329,352.64 is: 454,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,624.64 : 824,722 = 329,352.64 : x
  2. Step 2: Convert to fraction form
    597,624.64/824,722 = 329,352.64/x
  3. Step 3: Cross multiply
    597,624.64x = 824,722 × 329,352.64
  4. Step 4: Simplify right side
    597,624.64x = 271,624,367,966.08
  5. Step 5: Solve for x
    x = 271,624,367,966.08/597,624.64
  6. Step 6: Final answer
    x = 454,506.64

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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.