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Finding the Fourth Proportional to 682,767.44, 942,387.72 and 414,720.08

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Solution

The fourth proportional to 682,767.44, 942,387.72 and 414,720.08 is: 572,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,767.44 : 942,387.72 = 414,720.08 : x
  2. Step 2: Convert to fraction form
    682,767.44/942,387.72 = 414,720.08/x
  3. Step 3: Cross multiply
    682,767.44x = 942,387.72 × 414,720.08
  4. Step 4: Simplify right side
    682,767.44x = 390,827,110,629.42
  5. Step 5: Solve for x
    x = 390,827,110,629.42/682,767.44
  6. Step 6: Final answer
    x = 572,416.15

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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.