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Finding the Fourth Proportional to 476,438.16, 657,356.16 and 272,447.04

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Solution

The fourth proportional to 476,438.16, 657,356.16 and 272,447.04 is: 375,903.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,438.16 : 657,356.16 = 272,447.04 : x
  2. Step 2: Convert to fraction form
    476,438.16/657,356.16 = 272,447.04/x
  3. Step 3: Cross multiply
    476,438.16x = 657,356.16 × 272,447.04
  4. Step 4: Simplify right side
    476,438.16x = 179,094,740,017.77
  5. Step 5: Solve for x
    x = 179,094,740,017.77/476,438.16
  6. Step 6: Final answer
    x = 375,903.43

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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.