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Finding the Fourth Proportional to 471,407.04, 650,543.40 and 256,549.68

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Solution

The fourth proportional to 471,407.04, 650,543.40 and 256,549.68 is: 354,039.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,407.04 : 650,543.40 = 256,549.68 : x
  2. Step 2: Convert to fraction form
    471,407.04/650,543.40 = 256,549.68/x
  3. Step 3: Cross multiply
    471,407.04x = 650,543.40 × 256,549.68
  4. Step 4: Simplify right side
    471,407.04x = 166,896,701,096.11
  5. Step 5: Solve for x
    x = 166,896,701,096.11/471,407.04
  6. Step 6: Final answer
    x = 354,039.48

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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.