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Finding the Fourth Proportional to 661,155.86, 912,769.77 and 505,814.90

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Solution

The fourth proportional to 661,155.86, 912,769.77 and 505,814.90 is: 698,311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,155.86 : 912,769.77 = 505,814.90 : x
  2. Step 2: Convert to fraction form
    661,155.86/912,769.77 = 505,814.90/x
  3. Step 3: Cross multiply
    661,155.86x = 912,769.77 × 505,814.90
  4. Step 4: Simplify right side
    661,155.86x = 461,692,549,935.57
  5. Step 5: Solve for x
    x = 461,692,549,935.57/661,155.86
  6. Step 6: Final answer
    x = 698,311.21

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1.5x scale

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.