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Finding the Fourth Proportional to 567,954.24, 783,779.04 and 313,301.76

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Solution

The fourth proportional to 567,954.24, 783,779.04 and 313,301.76 is: 432,357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,954.24 : 783,779.04 = 313,301.76 : x
  2. Step 2: Convert to fraction form
    567,954.24/783,779.04 = 313,301.76/x
  3. Step 3: Cross multiply
    567,954.24x = 783,779.04 × 313,301.76
  4. Step 4: Simplify right side
    567,954.24x = 245,559,352,683.11
  5. Step 5: Solve for x
    x = 245,559,352,683.11/567,954.24
  6. Step 6: Final answer
    x = 432,357.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.