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Finding the Fourth Proportional to 649,422.31, 973,068.54 and 458,952.40

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Solution

The fourth proportional to 649,422.31, 973,068.54 and 458,952.40 is: 687,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,422.31 : 973,068.54 = 458,952.40 : x
  2. Step 2: Convert to fraction form
    649,422.31/973,068.54 = 458,952.40/x
  3. Step 3: Cross multiply
    649,422.31x = 973,068.54 × 458,952.40
  4. Step 4: Simplify right side
    649,422.31x = 446,592,141,797.50
  5. Step 5: Solve for x
    x = 446,592,141,797.50/649,422.31
  6. Step 6: Final answer
    x = 687,676.01

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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.