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Finding the Fourth Proportional to 505,157.47, 757,223.46 and 431,420.02

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Solution

The fourth proportional to 505,157.47, 757,223.46 and 431,420.02 is: 646,692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,157.47 : 757,223.46 = 431,420.02 : x
  2. Step 2: Convert to fraction form
    505,157.47/757,223.46 = 431,420.02/x
  3. Step 3: Cross multiply
    505,157.47x = 757,223.46 × 431,420.02
  4. Step 4: Simplify right side
    505,157.47x = 326,681,358,364.61
  5. Step 5: Solve for x
    x = 326,681,358,364.61/505,157.47
  6. Step 6: Final answer
    x = 646,692.13

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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.