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Finding the Fourth Proportional to 334,326.62, 501,492.36 and 97,834.16

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Solution

The fourth proportional to 334,326.62, 501,492.36 and 97,834.16 is: 146,751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,326.62 : 501,492.36 = 97,834.16 : x
  2. Step 2: Convert to fraction form
    334,326.62/501,492.36 = 97,834.16/x
  3. Step 3: Cross multiply
    334,326.62x = 501,492.36 × 97,834.16
  4. Step 4: Simplify right side
    334,326.62x = 49,063,083,787.02
  5. Step 5: Solve for x
    x = 49,063,083,787.02/334,326.62
  6. Step 6: Final answer
    x = 146,751.95

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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.