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Finding the Fourth Proportional to 432,857.10, 649,285.65 and 401,364.30

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Solution

The fourth proportional to 432,857.10, 649,285.65 and 401,364.30 is: 602,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,857.10 : 649,285.65 = 401,364.30 : x
  2. Step 2: Convert to fraction form
    432,857.10/649,285.65 = 401,364.30/x
  3. Step 3: Cross multiply
    432,857.10x = 649,285.65 × 401,364.30
  4. Step 4: Simplify right side
    432,857.10x = 260,600,080,412.30
  5. Step 5: Solve for x
    x = 260,600,080,412.30/432,857.10
  6. Step 6: Final answer
    x = 602,046.45

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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.