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Finding the Fourth Proportional to 536,062.11, 807,946.31 and 462,075.22

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Solution

The fourth proportional to 536,062.11, 807,946.31 and 462,075.22 is: 696,434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,062.11 : 807,946.31 = 462,075.22 : x
  2. Step 2: Convert to fraction form
    536,062.11/807,946.31 = 462,075.22/x
  3. Step 3: Cross multiply
    536,062.11x = 807,946.31 × 462,075.22
  4. Step 4: Simplify right side
    536,062.11x = 373,331,968,941.44
  5. Step 5: Solve for x
    x = 373,331,968,941.44/536,062.11
  6. Step 6: Final answer
    x = 696,434.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.