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Finding the Fourth Proportional to 463,772.66, 695,547.02 and 193,754.90

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Solution

The fourth proportional to 463,772.66, 695,547.02 and 193,754.90 is: 290,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,772.66 : 695,547.02 = 193,754.90 : x
  2. Step 2: Convert to fraction form
    463,772.66/695,547.02 = 193,754.90/x
  3. Step 3: Cross multiply
    463,772.66x = 695,547.02 × 193,754.90
  4. Step 4: Simplify right side
    463,772.66x = 134,765,643,305.40
  5. Step 5: Solve for x
    x = 134,765,643,305.40/463,772.66
  6. Step 6: Final answer
    x = 290,585.57

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Why These Related Problems?

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