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Finding the Fourth Proportional to 401,035.40, 601,553.10 and 164,547.80

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Solution

The fourth proportional to 401,035.40, 601,553.10 and 164,547.80 is: 246,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,035.40 : 601,553.10 = 164,547.80 : x
  2. Step 2: Convert to fraction form
    401,035.40/601,553.10 = 164,547.80/x
  3. Step 3: Cross multiply
    401,035.40x = 601,553.10 × 164,547.80
  4. Step 4: Simplify right side
    401,035.40x = 98,984,239,188.18
  5. Step 5: Solve for x
    x = 98,984,239,188.18/401,035.40
  6. Step 6: Final answer
    x = 246,821.70

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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.