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Finding the Fourth Proportional to 515,585.09, 711,515.09 and 286,157.16

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Solution

The fourth proportional to 515,585.09, 711,515.09 and 286,157.16 is: 394,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,585.09 : 711,515.09 = 286,157.16 : x
  2. Step 2: Convert to fraction form
    515,585.09/711,515.09 = 286,157.16/x
  3. Step 3: Cross multiply
    515,585.09x = 711,515.09 × 286,157.16
  4. Step 4: Simplify right side
    515,585.09x = 203,605,138,166.94
  5. Step 5: Solve for x
    x = 203,605,138,166.94/515,585.09
  6. Step 6: Final answer
    x = 394,901.13

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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.