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Finding the Fourth Proportional to 459,754.36, 634,101 and 314,646.16

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Solution

The fourth proportional to 459,754.36, 634,101 and 314,646.16 is: 433,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,754.36 : 634,101 = 314,646.16 : x
  2. Step 2: Convert to fraction form
    459,754.36/634,101 = 314,646.16/x
  3. Step 3: Cross multiply
    459,754.36x = 634,101 × 314,646.16
  4. Step 4: Simplify right side
    459,754.36x = 199,517,444,702.16
  5. Step 5: Solve for x
    x = 199,517,444,702.16/459,754.36
  6. Step 6: Final answer
    x = 433,965.31

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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.