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Finding the Fourth Proportional to 567,957.42, 783,783.81 and 313,308.54

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Solution

The fourth proportional to 567,957.42, 783,783.81 and 313,308.54 is: 432,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,957.42 : 783,783.81 = 313,308.54 : x
  2. Step 2: Convert to fraction form
    567,957.42/783,783.81 = 313,308.54/x
  3. Step 3: Cross multiply
    567,957.42x = 783,783.81 × 313,308.54
  4. Step 4: Simplify right side
    567,957.42x = 245,566,161,186.74
  5. Step 5: Solve for x
    x = 245,566,161,186.74/567,957.42
  6. Step 6: Final answer
    x = 432,367.20

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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.