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Finding the Fourth Proportional to 586,964.16, 810,354.24 and 425,664

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Solution

The fourth proportional to 586,964.16, 810,354.24 and 425,664 is: 587,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,964.16 : 810,354.24 = 425,664 : x
  2. Step 2: Convert to fraction form
    586,964.16/810,354.24 = 425,664/x
  3. Step 3: Cross multiply
    586,964.16x = 810,354.24 × 425,664
  4. Step 4: Simplify right side
    586,964.16x = 344,938,627,215.36
  5. Step 5: Solve for x
    x = 344,938,627,215.36/586,964.16
  6. Step 6: Final answer
    x = 587,665.57

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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.