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Finding the Fourth Proportional to 471,316.14, 650,424.06 and 256,457.30

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Solution

The fourth proportional to 471,316.14, 650,424.06 and 256,457.30 is: 353,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,316.14 : 650,424.06 = 256,457.30 : x
  2. Step 2: Convert to fraction form
    471,316.14/650,424.06 = 256,457.30/x
  3. Step 3: Cross multiply
    471,316.14x = 650,424.06 × 256,457.30
  4. Step 4: Simplify right side
    471,316.14x = 166,805,995,030.52
  5. Step 5: Solve for x
    x = 166,805,995,030.52/471,316.14
  6. Step 6: Final answer
    x = 353,915.30

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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.