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Finding the Fourth Proportional to 707,707.95, 976,837.68 and 466,166.83

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Solution

The fourth proportional to 707,707.95, 976,837.68 and 466,166.83 is: 643,442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,707.95 : 976,837.68 = 466,166.83 : x
  2. Step 2: Convert to fraction form
    707,707.95/976,837.68 = 466,166.83/x
  3. Step 3: Cross multiply
    707,707.95x = 976,837.68 × 466,166.83
  4. Step 4: Simplify right side
    707,707.95x = 455,369,322,379.32
  5. Step 5: Solve for x
    x = 455,369,322,379.32/707,707.95
  6. Step 6: Final answer
    x = 643,442.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.