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Finding the Fourth Proportional to 597,402, 824,414.76 and 329,135.76

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Solution

The fourth proportional to 597,402, 824,414.76 and 329,135.76 is: 454,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,402 : 824,414.76 = 329,135.76 : x
  2. Step 2: Convert to fraction form
    597,402/824,414.76 = 329,135.76/x
  3. Step 3: Cross multiply
    597,402x = 824,414.76 × 329,135.76
  4. Step 4: Simplify right side
    597,402x = 271,344,378,587.82
  5. Step 5: Solve for x
    x = 271,344,378,587.82/597,402
  6. Step 6: Final answer
    x = 454,207.35

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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.