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Finding the Fourth Proportional to 511,004.84, 705,030.57 and 296,103.38

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Solution

The fourth proportional to 511,004.84, 705,030.57 and 296,103.38 is: 408,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,004.84 : 705,030.57 = 296,103.38 : x
  2. Step 2: Convert to fraction form
    511,004.84/705,030.57 = 296,103.38/x
  3. Step 3: Cross multiply
    511,004.84x = 705,030.57 × 296,103.38
  4. Step 4: Simplify right side
    511,004.84x = 208,761,931,255.17
  5. Step 5: Solve for x
    x = 208,761,931,255.17/511,004.84
  6. Step 6: Final answer
    x = 408,532.20

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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.