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Finding the Fourth Proportional to 589,048, 883,572 and 145,816

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Solution

The fourth proportional to 589,048, 883,572 and 145,816 is: 218,724

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,048 : 883,572 = 145,816 : x
  2. Step 2: Convert to fraction form
    589,048/883,572 = 145,816/x
  3. Step 3: Cross multiply
    589,048x = 883,572 × 145,816
  4. Step 4: Simplify right side
    589,048x = 128,838,934,752
  5. Step 5: Solve for x
    x = 128,838,934,752/589,048
  6. Step 6: Final answer
    x = 218,724

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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.