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Finding the Fourth Proportional to 586,838.40, 880,322.40 and 187,411.20

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Solution

The fourth proportional to 586,838.40, 880,322.40 and 187,411.20 is: 281,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,838.40 : 880,322.40 = 187,411.20 : x
  2. Step 2: Convert to fraction form
    586,838.40/880,322.40 = 187,411.20/x
  3. Step 3: Cross multiply
    586,838.40x = 880,322.40 × 187,411.20
  4. Step 4: Simplify right side
    586,838.40x = 164,982,277,370.88
  5. Step 5: Solve for x
    x = 164,982,277,370.88/586,838.40
  6. Step 6: Final answer
    x = 281,137.49

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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.