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Finding the Fourth Proportional to 401,099.95, 601,637.57 and 164,264.25

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Solution

The fourth proportional to 401,099.95, 601,637.57 and 164,264.25 is: 246,391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,099.95 : 601,637.57 = 164,264.25 : x
  2. Step 2: Convert to fraction form
    401,099.95/601,637.57 = 164,264.25/x
  3. Step 3: Cross multiply
    401,099.95x = 601,637.57 × 164,264.25
  4. Step 4: Simplify right side
    401,099.95x = 98,827,547,182.67
  5. Step 5: Solve for x
    x = 98,827,547,182.67/401,099.95
  6. Step 6: Final answer
    x = 246,391.32

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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.