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Finding the Fourth Proportional to 573,914.68, 791,530.62 and 509,431

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Solution

The fourth proportional to 573,914.68, 791,530.62 and 509,431 is: 702,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,914.68 : 791,530.62 = 509,431 : x
  2. Step 2: Convert to fraction form
    573,914.68/791,530.62 = 509,431/x
  3. Step 3: Cross multiply
    573,914.68x = 791,530.62 × 509,431
  4. Step 4: Simplify right side
    573,914.68x = 403,230,235,277.22
  5. Step 5: Solve for x
    x = 403,230,235,277.22/573,914.68
  6. Step 6: Final answer
    x = 702,596.13

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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.