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Finding the Fourth Proportional to 504,334.88, 756,742.80 and 314,743.76

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Solution

The fourth proportional to 504,334.88, 756,742.80 and 314,743.76 is: 472,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,334.88 : 756,742.80 = 314,743.76 : x
  2. Step 2: Convert to fraction form
    504,334.88/756,742.80 = 314,743.76/x
  3. Step 3: Cross multiply
    504,334.88x = 756,742.80 × 314,743.76
  4. Step 4: Simplify right side
    504,334.88x = 238,180,074,224.93
  5. Step 5: Solve for x
    x = 238,180,074,224.93/504,334.88
  6. Step 6: Final answer
    x = 472,265.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.