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Finding the Fourth Proportional to 507,246.60, 760,812.30 and 133,307.40

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Solution

The fourth proportional to 507,246.60, 760,812.30 and 133,307.40 is: 199,945.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,246.60 : 760,812.30 = 133,307.40 : x
  2. Step 2: Convert to fraction form
    507,246.60/760,812.30 = 133,307.40/x
  3. Step 3: Cross multiply
    507,246.60x = 760,812.30 × 133,307.40
  4. Step 4: Simplify right side
    507,246.60x = 101,421,909,601.02
  5. Step 5: Solve for x
    x = 101,421,909,601.02/507,246.60
  6. Step 6: Final answer
    x = 199,945.96

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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.