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Finding the Fourth Proportional to 410,468.42, 615,723.39 and 157,660.28

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Solution

The fourth proportional to 410,468.42, 615,723.39 and 157,660.28 is: 236,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,468.42 : 615,723.39 = 157,660.28 : x
  2. Step 2: Convert to fraction form
    410,468.42/615,723.39 = 157,660.28/x
  3. Step 3: Cross multiply
    410,468.42x = 615,723.39 × 157,660.28
  4. Step 4: Simplify right side
    410,468.42x = 97,075,123,609.26
  5. Step 5: Solve for x
    x = 97,075,123,609.26/410,468.42
  6. Step 6: Final answer
    x = 236,498.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.