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Finding the Fourth Proportional to 785,730, 1,084,256.36 and 463,366.20

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Solution

The fourth proportional to 785,730, 1,084,256.36 and 463,366.20 is: 639,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,730 : 1,084,256.36 = 463,366.20 : x
  2. Step 2: Convert to fraction form
    785,730/1,084,256.36 = 463,366.20/x
  3. Step 3: Cross multiply
    785,730x = 1,084,256.36 × 463,366.20
  4. Step 4: Simplify right side
    785,730x = 502,407,749,359.03
  5. Step 5: Solve for x
    x = 502,407,749,359.03/785,730
  6. Step 6: Final answer
    x = 639,415.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.