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Finding the Fourth Proportional to 802,512.63, 1,203,670.53 and 465,736.50

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Solution

The fourth proportional to 802,512.63, 1,203,670.53 and 465,736.50 is: 698,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,512.63 : 1,203,670.53 = 465,736.50 : x
  2. Step 2: Convert to fraction form
    802,512.63/1,203,670.53 = 465,736.50/x
  3. Step 3: Cross multiply
    802,512.63x = 1,203,670.53 × 465,736.50
  4. Step 4: Simplify right side
    802,512.63x = 560,593,299,795.35
  5. Step 5: Solve for x
    x = 560,593,299,795.35/802,512.63
  6. Step 6: Final answer
    x = 698,547.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.