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Finding the Fourth Proportional to 567,602.32, 783,296.50 and 312,962.56

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Solution

The fourth proportional to 567,602.32, 783,296.50 and 312,962.56 is: 431,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,602.32 : 783,296.50 = 312,962.56 : x
  2. Step 2: Convert to fraction form
    567,602.32/783,296.50 = 312,962.56/x
  3. Step 3: Cross multiply
    567,602.32x = 783,296.50 × 312,962.56
  4. Step 4: Simplify right side
    567,602.32x = 245,142,477,879.04
  5. Step 5: Solve for x
    x = 245,142,477,879.04/567,602.32
  6. Step 6: Final answer
    x = 431,891.25

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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.