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Finding the Fourth Proportional to 493,317.16, 680,779.80 and 266,962.66

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Solution

The fourth proportional to 493,317.16, 680,779.80 and 266,962.66 is: 368,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,317.16 : 680,779.80 = 266,962.66 : x
  2. Step 2: Convert to fraction form
    493,317.16/680,779.80 = 266,962.66/x
  3. Step 3: Cross multiply
    493,317.16x = 680,779.80 × 266,962.66
  4. Step 4: Simplify right side
    493,317.16x = 181,742,786,282.27
  5. Step 5: Solve for x
    x = 181,742,786,282.27/493,317.16
  6. Step 6: Final answer
    x = 368,409.62

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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.