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Finding the Fourth Proportional to 707,707.20, 976,836.64 and 466,166.08

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Solution

The fourth proportional to 707,707.20, 976,836.64 and 466,166.08 is: 643,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,707.20 : 976,836.64 = 466,166.08 : x
  2. Step 2: Convert to fraction form
    707,707.20/976,836.64 = 466,166.08/x
  3. Step 3: Cross multiply
    707,707.20x = 976,836.64 × 466,166.08
  4. Step 4: Simplify right side
    707,707.20x = 455,368,107,269.17
  5. Step 5: Solve for x
    x = 455,368,107,269.17/707,707.20
  6. Step 6: Final answer
    x = 643,441.39

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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.