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Finding the Fourth Proportional to 507,368.26, 760,391.40 and 282,719.62

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Solution

The fourth proportional to 507,368.26, 760,391.40 and 282,719.62 is: 423,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,368.26 : 760,391.40 = 282,719.62 : x
  2. Step 2: Convert to fraction form
    507,368.26/760,391.40 = 282,719.62/x
  3. Step 3: Cross multiply
    507,368.26x = 760,391.40 × 282,719.62
  4. Step 4: Simplify right side
    507,368.26x = 214,977,567,659.27
  5. Step 5: Solve for x
    x = 214,977,567,659.27/507,368.26
  6. Step 6: Final answer
    x = 423,711.11

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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.