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Finding the Fourth Proportional to 552,281, 827,092.88 and 314,904.04

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Solution

The fourth proportional to 552,281, 827,092.88 and 314,904.04 is: 471,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,281 : 827,092.88 = 314,904.04 : x
  2. Step 2: Convert to fraction form
    552,281/827,092.88 = 314,904.04/x
  3. Step 3: Cross multiply
    552,281x = 827,092.88 × 314,904.04
  4. Step 4: Simplify right side
    552,281x = 260,454,889,367.24
  5. Step 5: Solve for x
    x = 260,454,889,367.24/552,281
  6. Step 6: Final answer
    x = 471,598.50

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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.