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Finding the Fourth Proportional to 314,672.09, 434,248.04 and 178,706.01

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Solution

The fourth proportional to 314,672.09, 434,248.04 and 178,706.01 is: 246,614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,672.09 : 434,248.04 = 178,706.01 : x
  2. Step 2: Convert to fraction form
    314,672.09/434,248.04 = 178,706.01/x
  3. Step 3: Cross multiply
    314,672.09x = 434,248.04 × 178,706.01
  4. Step 4: Simplify right side
    314,672.09x = 77,602,733,685.19
  5. Step 5: Solve for x
    x = 77,602,733,685.19/314,672.09
  6. Step 6: Final answer
    x = 246,614.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.