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Finding the Fourth Proportional to 470,308.16, 649,032.20 and 266,354.01

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Solution

The fourth proportional to 470,308.16, 649,032.20 and 266,354.01 is: 367,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,308.16 : 649,032.20 = 266,354.01 : x
  2. Step 2: Convert to fraction form
    470,308.16/649,032.20 = 266,354.01/x
  3. Step 3: Cross multiply
    470,308.16x = 649,032.20 × 266,354.01
  4. Step 4: Simplify right side
    470,308.16x = 172,872,327,757.35
  5. Step 5: Solve for x
    x = 172,872,327,757.35/470,308.16
  6. Step 6: Final answer
    x = 367,572.46

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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.