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Finding the Fourth Proportional to 410,075.64, 615,042.53 and 185,383.82

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Solution

The fourth proportional to 410,075.64, 615,042.53 and 185,383.82 is: 278,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,075.64 : 615,042.53 = 185,383.82 : x
  2. Step 2: Convert to fraction form
    410,075.64/615,042.53 = 185,383.82/x
  3. Step 3: Cross multiply
    410,075.64x = 615,042.53 × 185,383.82
  4. Step 4: Simplify right side
    410,075.64x = 114,018,933,673.87
  5. Step 5: Solve for x
    x = 114,018,933,673.87/410,075.64
  6. Step 6: Final answer
    x = 278,043.66

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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.