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Finding the Fourth Proportional to 567,346.44, 782,943.54 and 312,707.40

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Solution

The fourth proportional to 567,346.44, 782,943.54 and 312,707.40 is: 431,539.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,346.44 : 782,943.54 = 312,707.40 : x
  2. Step 2: Convert to fraction form
    567,346.44/782,943.54 = 312,707.40/x
  3. Step 3: Cross multiply
    567,346.44x = 782,943.54 × 312,707.40
  4. Step 4: Simplify right side
    567,346.44x = 244,832,238,740.20
  5. Step 5: Solve for x
    x = 244,832,238,740.20/567,346.44
  6. Step 6: Final answer
    x = 431,539.22

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1.5x scale

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.