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Finding the Fourth Proportional to 410,246.32, 615,050.84 and 265,847.10

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Solution

The fourth proportional to 410,246.32, 615,050.84 and 265,847.10 is: 398,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,246.32 : 615,050.84 = 265,847.10 : x
  2. Step 2: Convert to fraction form
    410,246.32/615,050.84 = 265,847.10/x
  3. Step 3: Cross multiply
    410,246.32x = 615,050.84 × 265,847.10
  4. Step 4: Simplify right side
    410,246.32x = 163,509,482,831.18
  5. Step 5: Solve for x
    x = 163,509,482,831.18/410,246.32
  6. Step 6: Final answer
    x = 398,564.17

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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.