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Finding the Fourth Proportional to 659,446.86, 910,097.16 and 414,471.48

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Solution

The fourth proportional to 659,446.86, 910,097.16 and 414,471.48 is: 572,008.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,446.86 : 910,097.16 = 414,471.48 : x
  2. Step 2: Convert to fraction form
    659,446.86/910,097.16 = 414,471.48/x
  3. Step 3: Cross multiply
    659,446.86x = 910,097.16 × 414,471.48
  4. Step 4: Simplify right side
    659,446.86x = 377,209,316,849.00
  5. Step 5: Solve for x
    x = 377,209,316,849.00/659,446.86
  6. Step 6: Final answer
    x = 572,008.66

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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.