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Finding the Fourth Proportional to 457,399, 631,210.62 and 278,551

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Solution

The fourth proportional to 457,399, 631,210.62 and 278,551 is: 384,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,399 : 631,210.62 = 278,551 : x
  2. Step 2: Convert to fraction form
    457,399/631,210.62 = 278,551/x
  3. Step 3: Cross multiply
    457,399x = 631,210.62 × 278,551
  4. Step 4: Simplify right side
    457,399x = 175,824,349,411.62
  5. Step 5: Solve for x
    x = 175,824,349,411.62/457,399
  6. Step 6: Final answer
    x = 384,400.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.