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Finding the Fourth Proportional to 500,768.51, 750,627.88 and 185,024.03

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Solution

The fourth proportional to 500,768.51, 750,627.88 and 185,024.03 is: 277,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,768.51 : 750,627.88 = 185,024.03 : x
  2. Step 2: Convert to fraction form
    500,768.51/750,627.88 = 185,024.03/x
  3. Step 3: Cross multiply
    500,768.51x = 750,627.88 × 185,024.03
  4. Step 4: Simplify right side
    500,768.51x = 138,884,191,172.26
  5. Step 5: Solve for x
    x = 138,884,191,172.26/500,768.51
  6. Step 6: Final answer
    x = 277,342.10

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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.