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Finding the Fourth Proportional to 716,406.73, 988,649.45 and 410,476.97

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Solution

The fourth proportional to 716,406.73, 988,649.45 and 410,476.97 is: 566,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,406.73 : 988,649.45 = 410,476.97 : x
  2. Step 2: Convert to fraction form
    716,406.73/988,649.45 = 410,476.97/x
  3. Step 3: Cross multiply
    716,406.73x = 988,649.45 × 410,476.97
  4. Step 4: Simplify right side
    716,406.73x = 405,817,830,628.17
  5. Step 5: Solve for x
    x = 405,817,830,628.17/716,406.73
  6. Step 6: Final answer
    x = 566,462.90

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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.