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Finding the Fourth Proportional to 536,075.10, 807,965.94 and 462,088.22

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Solution

The fourth proportional to 536,075.10, 807,965.94 and 462,088.22 is: 696,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,075.10 : 807,965.94 = 462,088.22 : x
  2. Step 2: Convert to fraction form
    536,075.10/807,965.94 = 462,088.22/x
  3. Step 3: Cross multiply
    536,075.10x = 807,965.94 × 462,088.22
  4. Step 4: Simplify right side
    536,075.10x = 373,351,543,035.23
  5. Step 5: Solve for x
    x = 373,351,543,035.23/536,075.10
  6. Step 6: Final answer
    x = 696,453.80

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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.