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Finding the Fourth Proportional to 316,225, 474,337.50 and 94,609

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Solution

The fourth proportional to 316,225, 474,337.50 and 94,609 is: 141,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,225 : 474,337.50 = 94,609 : x
  2. Step 2: Convert to fraction form
    316,225/474,337.50 = 94,609/x
  3. Step 3: Cross multiply
    316,225x = 474,337.50 × 94,609
  4. Step 4: Simplify right side
    316,225x = 44,876,596,537.50
  5. Step 5: Solve for x
    x = 44,876,596,537.50/316,225
  6. Step 6: Final answer
    x = 141,913.50

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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.