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Finding the Fourth Proportional to 678,012, 935,594.71 and 402,322.34

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Solution

The fourth proportional to 678,012, 935,594.71 and 402,322.34 is: 555,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,012 : 935,594.71 = 402,322.34 : x
  2. Step 2: Convert to fraction form
    678,012/935,594.71 = 402,322.34/x
  3. Step 3: Cross multiply
    678,012x = 935,594.71 × 402,322.34
  4. Step 4: Simplify right side
    678,012x = 376,410,653,018.82
  5. Step 5: Solve for x
    x = 376,410,653,018.82/678,012
  6. Step 6: Final answer
    x = 555,168.13

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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.