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Finding the Fourth Proportional to 521,407.50, 719,542.35 and 282,943.50

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Solution

The fourth proportional to 521,407.50, 719,542.35 and 282,943.50 is: 390,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,407.50 : 719,542.35 = 282,943.50 : x
  2. Step 2: Convert to fraction form
    521,407.50/719,542.35 = 282,943.50/x
  3. Step 3: Cross multiply
    521,407.50x = 719,542.35 × 282,943.50
  4. Step 4: Simplify right side
    521,407.50x = 203,589,830,907.23
  5. Step 5: Solve for x
    x = 203,589,830,907.23/521,407.50
  6. Step 6: Final answer
    x = 390,462.03

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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.