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Finding the Fourth Proportional to 546,304.06, 753,952.89 and 408,243.24

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Solution

The fourth proportional to 546,304.06, 753,952.89 and 408,243.24 is: 563,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,304.06 : 753,952.89 = 408,243.24 : x
  2. Step 2: Convert to fraction form
    546,304.06/753,952.89 = 408,243.24/x
  3. Step 3: Cross multiply
    546,304.06x = 753,952.89 × 408,243.24
  4. Step 4: Simplify right side
    546,304.06x = 307,796,172,334.04
  5. Step 5: Solve for x
    x = 307,796,172,334.04/546,304.06
  6. Step 6: Final answer
    x = 563,415.50

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1.5x scale

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.