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Finding the Fourth Proportional to 706,461.16, 974,942 and 404,713.48

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Solution

The fourth proportional to 706,461.16, 974,942 and 404,713.48 is: 558,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,461.16 : 974,942 = 404,713.48 : x
  2. Step 2: Convert to fraction form
    706,461.16/974,942 = 404,713.48/x
  3. Step 3: Cross multiply
    706,461.16x = 974,942 × 404,713.48
  4. Step 4: Simplify right side
    706,461.16x = 394,572,169,618.16
  5. Step 5: Solve for x
    x = 394,572,169,618.16/706,461.16
  6. Step 6: Final answer
    x = 558,519.27

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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.