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Finding the Fourth Proportional to 535,364.64, 738,823.88 and 293,657.40

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Solution

The fourth proportional to 535,364.64, 738,823.88 and 293,657.40 is: 405,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,364.64 : 738,823.88 = 293,657.40 : x
  2. Step 2: Convert to fraction form
    535,364.64/738,823.88 = 293,657.40/x
  3. Step 3: Cross multiply
    535,364.64x = 738,823.88 × 293,657.40
  4. Step 4: Simplify right side
    535,364.64x = 216,961,100,392.86
  5. Step 5: Solve for x
    x = 216,961,100,392.86/535,364.64
  6. Step 6: Final answer
    x = 405,258.55

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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.