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Finding the Fourth Proportional to 510,912.95, 705,006.94 and 314,648.38

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Solution

The fourth proportional to 510,912.95, 705,006.94 and 314,648.38 is: 434,182.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,912.95 : 705,006.94 = 314,648.38 : x
  2. Step 2: Convert to fraction form
    510,912.95/705,006.94 = 314,648.38/x
  3. Step 3: Cross multiply
    510,912.95x = 705,006.94 × 314,648.38
  4. Step 4: Simplify right side
    510,912.95x = 221,829,286,461.48
  5. Step 5: Solve for x
    x = 221,829,286,461.48/510,912.95
  6. Step 6: Final answer
    x = 434,182.16

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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.