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Finding the Fourth Proportional to 410,343, 615,549.76 and 144,080.64

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Solution

The fourth proportional to 410,343, 615,549.76 and 144,080.64 is: 216,133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,343 : 615,549.76 = 144,080.64 : x
  2. Step 2: Convert to fraction form
    410,343/615,549.76 = 144,080.64/x
  3. Step 3: Cross multiply
    410,343x = 615,549.76 × 144,080.64
  4. Step 4: Simplify right side
    410,343x = 88,688,803,372.65
  5. Step 5: Solve for x
    x = 88,688,803,372.65/410,343
  6. Step 6: Final answer
    x = 216,133.34

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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.