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Finding the Fourth Proportional to 539,889.14, 745,047 and 313,549.22

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Solution

The fourth proportional to 539,889.14, 745,047 and 313,549.22 is: 432,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,889.14 : 745,047 = 313,549.22 : x
  2. Step 2: Convert to fraction form
    539,889.14/745,047 = 313,549.22/x
  3. Step 3: Cross multiply
    539,889.14x = 745,047 × 313,549.22
  4. Step 4: Simplify right side
    539,889.14x = 233,608,905,713.34
  5. Step 5: Solve for x
    x = 233,608,905,713.34/539,889.14
  6. Step 6: Final answer
    x = 432,697.92

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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.