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Finding the Fourth Proportional to 771,159.74, 1,064,200.14 and 431,627.99

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Solution

The fourth proportional to 771,159.74, 1,064,200.14 and 431,627.99 is: 595,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,159.74 : 1,064,200.14 = 431,627.99 : x
  2. Step 2: Convert to fraction form
    771,159.74/1,064,200.14 = 431,627.99/x
  3. Step 3: Cross multiply
    771,159.74x = 1,064,200.14 × 431,627.99
  4. Step 4: Simplify right side
    771,159.74x = 459,338,562,064.92
  5. Step 5: Solve for x
    x = 459,338,562,064.92/771,159.74
  6. Step 6: Final answer
    x = 595,646.45

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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.