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Finding the Fourth Proportional to 288,348.12, 432,216 and 170,075.16

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Solution

The fourth proportional to 288,348.12, 432,216 and 170,075.16 is: 254,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,348.12 : 432,216 = 170,075.16 : x
  2. Step 2: Convert to fraction form
    288,348.12/432,216 = 170,075.16/x
  3. Step 3: Cross multiply
    288,348.12x = 432,216 × 170,075.16
  4. Step 4: Simplify right side
    288,348.12x = 73,509,205,354.56
  5. Step 5: Solve for x
    x = 73,509,205,354.56/288,348.12
  6. Step 6: Final answer
    x = 254,932.15

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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.