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Finding the Fourth Proportional to 500,999.72, 691,407.42 and 286,209.52

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Solution

The fourth proportional to 500,999.72, 691,407.42 and 286,209.52 is: 394,985.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,999.72 : 691,407.42 = 286,209.52 : x
  2. Step 2: Convert to fraction form
    500,999.72/691,407.42 = 286,209.52/x
  3. Step 3: Cross multiply
    500,999.72x = 691,407.42 × 286,209.52
  4. Step 4: Simplify right side
    500,999.72x = 197,887,385,802.64
  5. Step 5: Solve for x
    x = 197,887,385,802.64/500,999.72
  6. Step 6: Final answer
    x = 394,985.02

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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.