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Finding the Fourth Proportional to 733,762.16, 1,012,602.84 and 427,830.20

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Solution

The fourth proportional to 733,762.16, 1,012,602.84 and 427,830.20 is: 590,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,762.16 : 1,012,602.84 = 427,830.20 : x
  2. Step 2: Convert to fraction form
    733,762.16/1,012,602.84 = 427,830.20/x
  3. Step 3: Cross multiply
    733,762.16x = 1,012,602.84 × 427,830.20
  4. Step 4: Simplify right side
    733,762.16x = 433,222,075,557.77
  5. Step 5: Solve for x
    x = 433,222,075,557.77/733,762.16
  6. Step 6: Final answer
    x = 590,412.12

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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.