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Finding the Fourth Proportional to 521,061.57, 719,064.98 and 282,597.57

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Solution

The fourth proportional to 521,061.57, 719,064.98 and 282,597.57 is: 389,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,061.57 : 719,064.98 = 282,597.57 : x
  2. Step 2: Convert to fraction form
    521,061.57/719,064.98 = 282,597.57/x
  3. Step 3: Cross multiply
    521,061.57x = 719,064.98 × 282,597.57
  4. Step 4: Simplify right side
    521,061.57x = 203,206,014,607.11
  5. Step 5: Solve for x
    x = 203,206,014,607.11/521,061.57
  6. Step 6: Final answer
    x = 389,984.65

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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.