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Finding the Fourth Proportional to 293,564.34, 440,280.27 and 135,706.50

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Solution

The fourth proportional to 293,564.34, 440,280.27 and 135,706.50 is: 203,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,564.34 : 440,280.27 = 135,706.50 : x
  2. Step 2: Convert to fraction form
    293,564.34/440,280.27 = 135,706.50/x
  3. Step 3: Cross multiply
    293,564.34x = 440,280.27 × 135,706.50
  4. Step 4: Simplify right side
    293,564.34x = 59,748,894,460.76
  5. Step 5: Solve for x
    x = 59,748,894,460.76/293,564.34
  6. Step 6: Final answer
    x = 203,529.13

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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.