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Finding the Fourth Proportional to 586,002.84, 878,995.14 and 186,640.26

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Solution

The fourth proportional to 586,002.84, 878,995.14 and 186,640.26 is: 279,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,002.84 : 878,995.14 = 186,640.26 : x
  2. Step 2: Convert to fraction form
    586,002.84/878,995.14 = 186,640.26/x
  3. Step 3: Cross multiply
    586,002.84x = 878,995.14 × 186,640.26
  4. Step 4: Simplify right side
    586,002.84x = 164,055,881,468.34
  5. Step 5: Solve for x
    x = 164,055,881,468.34/586,002.84
  6. Step 6: Final answer
    x = 279,957.49

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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.