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Finding the Fourth Proportional to 432,706.77, 648,708.96 and 180,176.19

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Solution

The fourth proportional to 432,706.77, 648,708.96 and 180,176.19 is: 270,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,706.77 : 648,708.96 = 180,176.19 : x
  2. Step 2: Convert to fraction form
    432,706.77/648,708.96 = 180,176.19/x
  3. Step 3: Cross multiply
    432,706.77x = 648,708.96 × 180,176.19
  4. Step 4: Simplify right side
    432,706.77x = 116,881,908,831.66
  5. Step 5: Solve for x
    x = 116,881,908,831.66/432,706.77
  6. Step 6: Final answer
    x = 270,118.05

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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.