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Finding the Fourth Proportional to 506,974.60, 760,461.90 and 133,035.40

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Solution

The fourth proportional to 506,974.60, 760,461.90 and 133,035.40 is: 199,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,974.60 : 760,461.90 = 133,035.40 : x
  2. Step 2: Convert to fraction form
    506,974.60/760,461.90 = 133,035.40/x
  3. Step 3: Cross multiply
    506,974.60x = 760,461.90 × 133,035.40
  4. Step 4: Simplify right side
    506,974.60x = 101,168,353,051.26
  5. Step 5: Solve for x
    x = 101,168,353,051.26/506,974.60
  6. Step 6: Final answer
    x = 199,553.10

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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.