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Finding the Fourth Proportional to 471,663.14, 650,878.14 and 256,798.28

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Solution

The fourth proportional to 471,663.14, 650,878.14 and 256,798.28 is: 354,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,663.14 : 650,878.14 = 256,798.28 : x
  2. Step 2: Convert to fraction form
    471,663.14/650,878.14 = 256,798.28/x
  3. Step 3: Cross multiply
    471,663.14x = 650,878.14 × 256,798.28
  4. Step 4: Simplify right side
    471,663.14x = 167,144,386,841.60
  5. Step 5: Solve for x
    x = 167,144,386,841.60/471,663.14
  6. Step 6: Final answer
    x = 354,372.37

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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.