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Finding the Fourth Proportional to 503,023, 694,129.62 and 296,258.62

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Solution

The fourth proportional to 503,023, 694,129.62 and 296,258.62 is: 408,812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,023 : 694,129.62 = 296,258.62 : x
  2. Step 2: Convert to fraction form
    503,023/694,129.62 = 296,258.62/x
  3. Step 3: Cross multiply
    503,023x = 694,129.62 × 296,258.62
  4. Step 4: Simplify right side
    503,023x = 205,641,883,322.32
  5. Step 5: Solve for x
    x = 205,641,883,322.32/503,023
  6. Step 6: Final answer
    x = 408,812.09

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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.