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Finding the Fourth Proportional to 589,054, 883,581 and 145,822

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Solution

The fourth proportional to 589,054, 883,581 and 145,822 is: 218,733

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,054 : 883,581 = 145,822 : x
  2. Step 2: Convert to fraction form
    589,054/883,581 = 145,822/x
  3. Step 3: Cross multiply
    589,054x = 883,581 × 145,822
  4. Step 4: Simplify right side
    589,054x = 128,845,548,582
  5. Step 5: Solve for x
    x = 128,845,548,582/589,054
  6. Step 6: Final answer
    x = 218,733

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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.