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Finding the Fourth Proportional to 567,392.50, 783,001.65 and 312,749.16

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Solution

The fourth proportional to 567,392.50, 783,001.65 and 312,749.16 is: 431,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,392.50 : 783,001.65 = 312,749.16 : x
  2. Step 2: Convert to fraction form
    567,392.50/783,001.65 = 312,749.16/x
  3. Step 3: Cross multiply
    567,392.50x = 783,001.65 × 312,749.16
  4. Step 4: Simplify right side
    567,392.50x = 244,883,108,316.11
  5. Step 5: Solve for x
    x = 244,883,108,316.11/567,392.50
  6. Step 6: Final answer
    x = 431,593.84

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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.