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Finding the Fourth Proportional to 567,654.80, 783,323.60 and 313,000.52

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Solution

The fourth proportional to 567,654.80, 783,323.60 and 313,000.52 is: 431,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,654.80 : 783,323.60 = 313,000.52 : x
  2. Step 2: Convert to fraction form
    567,654.80/783,323.60 = 313,000.52/x
  3. Step 3: Cross multiply
    567,654.80x = 783,323.60 × 313,000.52
  4. Step 4: Simplify right side
    567,654.80x = 245,180,688,646.65
  5. Step 5: Solve for x
    x = 245,180,688,646.65/567,654.80
  6. Step 6: Final answer
    x = 431,918.64

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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.