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Finding the Fourth Proportional to 516,881.51, 713,191.94 and 301,980.08

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Solution

The fourth proportional to 516,881.51, 713,191.94 and 301,980.08 is: 416,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,881.51 : 713,191.94 = 301,980.08 : x
  2. Step 2: Convert to fraction form
    516,881.51/713,191.94 = 301,980.08/x
  3. Step 3: Cross multiply
    516,881.51x = 713,191.94 × 301,980.08
  4. Step 4: Simplify right side
    516,881.51x = 215,369,754,020.70
  5. Step 5: Solve for x
    x = 215,369,754,020.70/516,881.51
  6. Step 6: Final answer
    x = 416,671.42

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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.