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Finding the Fourth Proportional to 415,364.93, 624,347.95 and 274,117.89

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Solution

The fourth proportional to 415,364.93, 624,347.95 and 274,117.89 is: 412,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,364.93 : 624,347.95 = 274,117.89 : x
  2. Step 2: Convert to fraction form
    415,364.93/624,347.95 = 274,117.89/x
  3. Step 3: Cross multiply
    415,364.93x = 624,347.95 × 274,117.89
  4. Step 4: Simplify right side
    415,364.93x = 171,144,941,337.85
  5. Step 5: Solve for x
    x = 171,144,941,337.85/415,364.93
  6. Step 6: Final answer
    x = 412,035.13

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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.