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Finding the Fourth Proportional to 517,805.91, 714,427.77 and 333,966.69

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Solution

The fourth proportional to 517,805.91, 714,427.77 and 333,966.69 is: 460,780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,805.91 : 714,427.77 = 333,966.69 : x
  2. Step 2: Convert to fraction form
    517,805.91/714,427.77 = 333,966.69/x
  3. Step 3: Cross multiply
    517,805.91x = 714,427.77 × 333,966.69
  4. Step 4: Simplify right side
    517,805.91x = 238,595,077,590.98
  5. Step 5: Solve for x
    x = 238,595,077,590.98/517,805.91
  6. Step 6: Final answer
    x = 460,780.91

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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.