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Finding the Fourth Proportional to 459,791.60, 634,502.40 and 266,207.46

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Solution

The fourth proportional to 459,791.60, 634,502.40 and 266,207.46 is: 367,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,791.60 : 634,502.40 = 266,207.46 : x
  2. Step 2: Convert to fraction form
    459,791.60/634,502.40 = 266,207.46/x
  3. Step 3: Cross multiply
    459,791.60x = 634,502.40 × 266,207.46
  4. Step 4: Simplify right side
    459,791.60x = 168,909,272,267.90
  5. Step 5: Solve for x
    x = 168,909,272,267.90/459,791.60
  6. Step 6: Final answer
    x = 367,360.50

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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.