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Finding the Fourth Proportional to 417,023.29, 575,553.63 and 264,075.45

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Solution

The fourth proportional to 417,023.29, 575,553.63 and 264,075.45 is: 364,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,023.29 : 575,553.63 = 264,075.45 : x
  2. Step 2: Convert to fraction form
    417,023.29/575,553.63 = 264,075.45/x
  3. Step 3: Cross multiply
    417,023.29x = 575,553.63 × 264,075.45
  4. Step 4: Simplify right side
    417,023.29x = 151,989,583,841.38
  5. Step 5: Solve for x
    x = 151,989,583,841.38/417,023.29
  6. Step 6: Final answer
    x = 364,463.06

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Why These Related Problems?

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