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Finding the Fourth Proportional to 410,895.32, 615,290.64 and 284,360.36

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Solution

The fourth proportional to 410,895.32, 615,290.64 and 284,360.36 is: 425,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,895.32 : 615,290.64 = 284,360.36 : x
  2. Step 2: Convert to fraction form
    410,895.32/615,290.64 = 284,360.36/x
  3. Step 3: Cross multiply
    410,895.32x = 615,290.64 × 284,360.36
  4. Step 4: Simplify right side
    410,895.32x = 174,964,267,895.03
  5. Step 5: Solve for x
    x = 174,964,267,895.03/410,895.32
  6. Step 6: Final answer
    x = 425,812.27

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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.