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Finding the Fourth Proportional to 287,453.76, 431,147.61 and 77,075.16

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Solution

The fourth proportional to 287,453.76, 431,147.61 and 77,075.16 is: 115,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,453.76 : 431,147.61 = 77,075.16 : x
  2. Step 2: Convert to fraction form
    287,453.76/431,147.61 = 77,075.16/x
  3. Step 3: Cross multiply
    287,453.76x = 431,147.61 × 77,075.16
  4. Step 4: Simplify right side
    287,453.76x = 33,230,771,024.37
  5. Step 5: Solve for x
    x = 33,230,771,024.37/287,453.76
  6. Step 6: Final answer
    x = 115,603.88

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Why These Related Problems?

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