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Finding the Fourth Proportional to 501,394.60, 752,011.26 and 146,325.40

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Solution

The fourth proportional to 501,394.60, 752,011.26 and 146,325.40 is: 219,464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,394.60 : 752,011.26 = 146,325.40 : x
  2. Step 2: Convert to fraction form
    501,394.60/752,011.26 = 146,325.40/x
  3. Step 3: Cross multiply
    501,394.60x = 752,011.26 × 146,325.40
  4. Step 4: Simplify right side
    501,394.60x = 110,038,348,424.00
  5. Step 5: Solve for x
    x = 110,038,348,424.00/501,394.60
  6. Step 6: Final answer
    x = 219,464.57

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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.