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Finding the Fourth Proportional to 473,749.44, 710,904 and 174,440.16

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Solution

The fourth proportional to 473,749.44, 710,904 and 174,440.16 is: 261,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,749.44 : 710,904 = 174,440.16 : x
  2. Step 2: Convert to fraction form
    473,749.44/710,904 = 174,440.16/x
  3. Step 3: Cross multiply
    473,749.44x = 710,904 × 174,440.16
  4. Step 4: Simplify right side
    473,749.44x = 124,010,207,504.64
  5. Step 5: Solve for x
    x = 124,010,207,504.64/473,749.44
  6. Step 6: Final answer
    x = 261,763.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.