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Finding the Fourth Proportional to 567,180, 782,724.87 and 312,547.59

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Solution

The fourth proportional to 567,180, 782,724.87 and 312,547.59 is: 431,324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,180 : 782,724.87 = 312,547.59 : x
  2. Step 2: Convert to fraction form
    567,180/782,724.87 = 312,547.59/x
  3. Step 3: Cross multiply
    567,180x = 782,724.87 × 312,547.59
  4. Step 4: Simplify right side
    567,180x = 244,638,771,751.56
  5. Step 5: Solve for x
    x = 244,638,771,751.56/567,180
  6. Step 6: Final answer
    x = 431,324.75

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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.