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Finding the Fourth Proportional to 493,352.60, 680,828.64 and 266,998.08

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Solution

The fourth proportional to 493,352.60, 680,828.64 and 266,998.08 is: 368,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,352.60 : 680,828.64 = 266,998.08 : x
  2. Step 2: Convert to fraction form
    493,352.60/680,828.64 = 266,998.08/x
  3. Step 3: Cross multiply
    493,352.60x = 680,828.64 × 266,998.08
  4. Step 4: Simplify right side
    493,352.60x = 181,779,939,689.01
  5. Step 5: Solve for x
    x = 181,779,939,689.01/493,352.60
  6. Step 6: Final answer
    x = 368,458.46

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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.