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Finding the Fourth Proportional to 410,065.60, 615,098.40 and 309,026.20

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Solution

The fourth proportional to 410,065.60, 615,098.40 and 309,026.20 is: 463,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,065.60 : 615,098.40 = 309,026.20 : x
  2. Step 2: Convert to fraction form
    410,065.60/615,098.40 = 309,026.20/x
  3. Step 3: Cross multiply
    410,065.60x = 615,098.40 × 309,026.20
  4. Step 4: Simplify right side
    410,065.60x = 190,081,521,178.08
  5. Step 5: Solve for x
    x = 190,081,521,178.08/410,065.60
  6. Step 6: Final answer
    x = 463,539.30

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1.5x scale

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.