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Finding the Fourth Proportional to 410,353.68, 615,329.52 and 144,075.48

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Solution

The fourth proportional to 410,353.68, 615,329.52 and 144,075.48 is: 216,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,353.68 : 615,329.52 = 144,075.48 : x
  2. Step 2: Convert to fraction form
    410,353.68/615,329.52 = 144,075.48/x
  3. Step 3: Cross multiply
    410,353.68x = 615,329.52 × 144,075.48
  4. Step 4: Simplify right side
    410,353.68x = 88,653,895,952.17
  5. Step 5: Solve for x
    x = 88,653,895,952.17/410,353.68
  6. Step 6: Final answer
    x = 216,042.65

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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.