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Finding the Fourth Proportional to 493,117.10, 680,501.59 and 266,762.60

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Solution

The fourth proportional to 493,117.10, 680,501.59 and 266,762.60 is: 368,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,117.10 : 680,501.59 = 266,762.60 : x
  2. Step 2: Convert to fraction form
    493,117.10/680,501.59 = 266,762.60/x
  3. Step 3: Cross multiply
    493,117.10x = 680,501.59 × 266,762.60
  4. Step 4: Simplify right side
    493,117.10x = 181,532,373,452.53
  5. Step 5: Solve for x
    x = 181,532,373,452.53/493,117.10
  6. Step 6: Final answer
    x = 368,132.38

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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.