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Finding the Fourth Proportional to 512,465.98, 707,208.35 and 283,029.01

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Solution

The fourth proportional to 512,465.98, 707,208.35 and 283,029.01 is: 390,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,465.98 : 707,208.35 = 283,029.01 : x
  2. Step 2: Convert to fraction form
    512,465.98/707,208.35 = 283,029.01/x
  3. Step 3: Cross multiply
    512,465.98x = 707,208.35 × 283,029.01
  4. Step 4: Simplify right side
    512,465.98x = 200,160,479,164.23
  5. Step 5: Solve for x
    x = 200,160,479,164.23/512,465.98
  6. Step 6: Final answer
    x = 390,582.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.