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Finding the Fourth Proportional to 253,431.79, 349,597.92 and 162,802.00

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Solution

The fourth proportional to 253,431.79, 349,597.92 and 162,802.00 is: 224,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,431.79 : 349,597.92 = 162,802.00 : x
  2. Step 2: Convert to fraction form
    253,431.79/349,597.92 = 162,802.00/x
  3. Step 3: Cross multiply
    253,431.79x = 349,597.92 × 162,802.00
  4. Step 4: Simplify right side
    253,431.79x = 56,915,241,619.34
  5. Step 5: Solve for x
    x = 56,915,241,619.34/253,431.79
  6. Step 6: Final answer
    x = 224,578.15

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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.