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Finding the Fourth Proportional to 459,965.50, 689,899.71 and 123,040.16

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Solution

The fourth proportional to 459,965.50, 689,899.71 and 123,040.16 is: 184,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,965.50 : 689,899.71 = 123,040.16 : x
  2. Step 2: Convert to fraction form
    459,965.50/689,899.71 = 123,040.16/x
  3. Step 3: Cross multiply
    459,965.50x = 689,899.71 × 123,040.16
  4. Step 4: Simplify right side
    459,965.50x = 84,885,370,702.35
  5. Step 5: Solve for x
    x = 84,885,370,702.35/459,965.50
  6. Step 6: Final answer
    x = 184,547.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.