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Finding the Fourth Proportional to 503,805.51, 755,950.19 and 314,217.20

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Solution

The fourth proportional to 503,805.51, 755,950.19 and 314,217.20 is: 471,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,805.51 : 755,950.19 = 314,217.20 : x
  2. Step 2: Convert to fraction form
    503,805.51/755,950.19 = 314,217.20/x
  3. Step 3: Cross multiply
    503,805.51x = 755,950.19 × 314,217.20
  4. Step 4: Simplify right side
    503,805.51x = 237,532,552,041.27
  5. Step 5: Solve for x
    x = 237,532,552,041.27/503,805.51
  6. Step 6: Final answer
    x = 471,476.69

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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.