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Finding the Fourth Proportional to 1,293,225.98, 1,784,581.53 and 712,335.90

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Solution

The fourth proportional to 1,293,225.98, 1,784,581.53 and 712,335.90 is: 982,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,225.98 : 1,784,581.53 = 712,335.90 : x
  2. Step 2: Convert to fraction form
    1,293,225.98/1,784,581.53 = 712,335.90/x
  3. Step 3: Cross multiply
    1,293,225.98x = 1,784,581.53 × 712,335.90
  4. Step 4: Simplify right side
    1,293,225.98x = 1,271,221,490,295.93
  5. Step 5: Solve for x
    x = 1,271,221,490,295.93/1,293,225.98
  6. Step 6: Final answer
    x = 982,984.81

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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.