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Finding the Fourth Proportional to 401,534.60, 602,301.90 and 164,755.40

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Solution

The fourth proportional to 401,534.60, 602,301.90 and 164,755.40 is: 247,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,534.60 : 602,301.90 = 164,755.40 : x
  2. Step 2: Convert to fraction form
    401,534.60/602,301.90 = 164,755.40/x
  3. Step 3: Cross multiply
    401,534.60x = 602,301.90 × 164,755.40
  4. Step 4: Simplify right side
    401,534.60x = 99,232,490,455.26
  5. Step 5: Solve for x
    x = 99,232,490,455.26/401,534.60
  6. Step 6: Final answer
    x = 247,133.10

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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.