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Finding the Fourth Proportional to 520,193.84, 715,109.88 and 447,329.48

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Solution

The fourth proportional to 520,193.84, 715,109.88 and 447,329.48 is: 614,943.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,193.84 : 715,109.88 = 447,329.48 : x
  2. Step 2: Convert to fraction form
    520,193.84/715,109.88 = 447,329.48/x
  3. Step 3: Cross multiply
    520,193.84x = 715,109.88 × 447,329.48
  4. Step 4: Simplify right side
    520,193.84x = 319,889,730,763.26
  5. Step 5: Solve for x
    x = 319,889,730,763.26/520,193.84
  6. Step 6: Final answer
    x = 614,943.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.