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Finding the Fourth Proportional to 384,805.10, 577,207.65 and 314,821.10

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Solution

The fourth proportional to 384,805.10, 577,207.65 and 314,821.10 is: 472,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,805.10 : 577,207.65 = 314,821.10 : x
  2. Step 2: Convert to fraction form
    384,805.10/577,207.65 = 314,821.10/x
  3. Step 3: Cross multiply
    384,805.10x = 577,207.65 × 314,821.10
  4. Step 4: Simplify right side
    384,805.10x = 181,717,147,301.42
  5. Step 5: Solve for x
    x = 181,717,147,301.42/384,805.10
  6. Step 6: Final answer
    x = 472,231.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.