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Finding the Fourth Proportional to 516,962.56, 713,472.60 and 290,608.24

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Solution

The fourth proportional to 516,962.56, 713,472.60 and 290,608.24 is: 401,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,962.56 : 713,472.60 = 290,608.24 : x
  2. Step 2: Convert to fraction form
    516,962.56/713,472.60 = 290,608.24/x
  3. Step 3: Cross multiply
    516,962.56x = 713,472.60 × 290,608.24
  4. Step 4: Simplify right side
    516,962.56x = 207,341,016,574.22
  5. Step 5: Solve for x
    x = 207,341,016,574.22/516,962.56
  6. Step 6: Final answer
    x = 401,075.50

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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.