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Finding the Fourth Proportional to 410,063.60, 615,095.40 and 309,024.20

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Solution

The fourth proportional to 410,063.60, 615,095.40 and 309,024.20 is: 463,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,063.60 : 615,095.40 = 309,024.20 : x
  2. Step 2: Convert to fraction form
    410,063.60/615,095.40 = 309,024.20/x
  3. Step 3: Cross multiply
    410,063.60x = 615,095.40 × 309,024.20
  4. Step 4: Simplify right side
    410,063.60x = 190,079,363,908.68
  5. Step 5: Solve for x
    x = 190,079,363,908.68/410,063.60
  6. Step 6: Final answer
    x = 463,536.30

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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.