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Finding the Fourth Proportional to 476,461.68, 657,824.88 and 295,366.32

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Solution

The fourth proportional to 476,461.68, 657,824.88 and 295,366.32 is: 407,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,461.68 : 657,824.88 = 295,366.32 : x
  2. Step 2: Convert to fraction form
    476,461.68/657,824.88 = 295,366.32/x
  3. Step 3: Cross multiply
    476,461.68x = 657,824.88 × 295,366.32
  4. Step 4: Simplify right side
    476,461.68x = 194,299,314,010.04
  5. Step 5: Solve for x
    x = 194,299,314,010.04/476,461.68
  6. Step 6: Final answer
    x = 407,796.31

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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.