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Finding the Fourth Proportional to 516,405.84, 712,706.76 and 290,051.34

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Solution

The fourth proportional to 516,405.84, 712,706.76 and 290,051.34 is: 400,308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,405.84 : 712,706.76 = 290,051.34 : x
  2. Step 2: Convert to fraction form
    516,405.84/712,706.76 = 290,051.34/x
  3. Step 3: Cross multiply
    516,405.84x = 712,706.76 × 290,051.34
  4. Step 4: Simplify right side
    516,405.84x = 206,721,550,765.06
  5. Step 5: Solve for x
    x = 206,721,550,765.06/516,405.84
  6. Step 6: Final answer
    x = 400,308.31

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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.