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Finding the Fourth Proportional to 314,925.84, 434,596.32 and 171,685.44

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Solution

The fourth proportional to 314,925.84, 434,596.32 and 171,685.44 is: 236,925.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,925.84 : 434,596.32 = 171,685.44 : x
  2. Step 2: Convert to fraction form
    314,925.84/434,596.32 = 171,685.44/x
  3. Step 3: Cross multiply
    314,925.84x = 434,596.32 × 171,685.44
  4. Step 4: Simplify right side
    314,925.84x = 74,613,860,421.58
  5. Step 5: Solve for x
    x = 74,613,860,421.58/314,925.84
  6. Step 6: Final answer
    x = 236,925.18

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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.