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Finding the Fourth Proportional to 515,471.81, 711,316.91 and 286,014.54

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Solution

The fourth proportional to 515,471.81, 711,316.91 and 286,014.54 is: 394,681.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,471.81 : 711,316.91 = 286,014.54 : x
  2. Step 2: Convert to fraction form
    515,471.81/711,316.91 = 286,014.54/x
  3. Step 3: Cross multiply
    515,471.81x = 711,316.91 × 286,014.54
  4. Step 4: Simplify right side
    515,471.81x = 203,446,980,581.51
  5. Step 5: Solve for x
    x = 203,446,980,581.51/515,471.81
  6. Step 6: Final answer
    x = 394,681.10

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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.