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Finding the Fourth Proportional to 470,552.61, 649,360.32 and 266,603.13

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Solution

The fourth proportional to 470,552.61, 649,360.32 and 266,603.13 is: 367,911.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,552.61 : 649,360.32 = 266,603.13 : x
  2. Step 2: Convert to fraction form
    470,552.61/649,360.32 = 266,603.13/x
  3. Step 3: Cross multiply
    470,552.61x = 649,360.32 × 266,603.13
  4. Step 4: Simplify right side
    470,552.61x = 173,121,493,809.80
  5. Step 5: Solve for x
    x = 173,121,493,809.80/470,552.61
  6. Step 6: Final answer
    x = 367,911.03

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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.