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Finding the Fourth Proportional to 413,347, 620,026.26 and 117,859

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Solution

The fourth proportional to 413,347, 620,026.26 and 117,859 is: 176,790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,347 : 620,026.26 = 117,859 : x
  2. Step 2: Convert to fraction form
    413,347/620,026.26 = 117,859/x
  3. Step 3: Cross multiply
    413,347x = 620,026.26 × 117,859
  4. Step 4: Simplify right side
    413,347x = 73,075,674,977.34
  5. Step 5: Solve for x
    x = 73,075,674,977.34/413,347
  6. Step 6: Final answer
    x = 176,790.14

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