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Finding the Fourth Proportional to 401,055.40, 601,583.10 and 164,567.80

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Solution

The fourth proportional to 401,055.40, 601,583.10 and 164,567.80 is: 246,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,055.40 : 601,583.10 = 164,567.80 : x
  2. Step 2: Convert to fraction form
    401,055.40/601,583.10 = 164,567.80/x
  3. Step 3: Cross multiply
    401,055.40x = 601,583.10 × 164,567.80
  4. Step 4: Simplify right side
    401,055.40x = 99,001,207,284.18
  5. Step 5: Solve for x
    x = 99,001,207,284.18/401,055.40
  6. Step 6: Final answer
    x = 246,851.70

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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.