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Finding the Fourth Proportional to 484,713.40, 726,632.70 and 316,314.40

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Solution

The fourth proportional to 484,713.40, 726,632.70 and 316,314.40 is: 474,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,713.40 : 726,632.70 = 316,314.40 : x
  2. Step 2: Convert to fraction form
    484,713.40/726,632.70 = 316,314.40/x
  3. Step 3: Cross multiply
    484,713.40x = 726,632.70 × 316,314.40
  4. Step 4: Simplify right side
    484,713.40x = 229,844,386,520.88
  5. Step 5: Solve for x
    x = 229,844,386,520.88/484,713.40
  6. Step 6: Final answer
    x = 474,186.16

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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.