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Finding the Fourth Proportional to 589,046, 883,569 and 145,814

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Solution

The fourth proportional to 589,046, 883,569 and 145,814 is: 218,721

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,046 : 883,569 = 145,814 : x
  2. Step 2: Convert to fraction form
    589,046/883,569 = 145,814/x
  3. Step 3: Cross multiply
    589,046x = 883,569 × 145,814
  4. Step 4: Simplify right side
    589,046x = 128,836,730,166
  5. Step 5: Solve for x
    x = 128,836,730,166/589,046
  6. Step 6: Final answer
    x = 218,721

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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.