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Finding the Fourth Proportional to 531,622.64, 797,568.36 and 176,638.40

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Solution

The fourth proportional to 531,622.64, 797,568.36 and 176,638.40 is: 265,002.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,622.64 : 797,568.36 = 176,638.40 : x
  2. Step 2: Convert to fraction form
    531,622.64/797,568.36 = 176,638.40/x
  3. Step 3: Cross multiply
    531,622.64x = 797,568.36 × 176,638.40
  4. Step 4: Simplify right side
    531,622.64x = 140,881,199,001.02
  5. Step 5: Solve for x
    x = 140,881,199,001.02/531,622.64
  6. Step 6: Final answer
    x = 265,002.26

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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.