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Finding the Fourth Proportional to 369,051.21, 509,292.23 and 207,908.19

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Solution

The fourth proportional to 369,051.21, 509,292.23 and 207,908.19 is: 286,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,051.21 : 509,292.23 = 207,908.19 : x
  2. Step 2: Convert to fraction form
    369,051.21/509,292.23 = 207,908.19/x
  3. Step 3: Cross multiply
    369,051.21x = 509,292.23 × 207,908.19
  4. Step 4: Simplify right side
    369,051.21x = 105,886,024,680.82
  5. Step 5: Solve for x
    x = 105,886,024,680.82/369,051.21
  6. Step 6: Final answer
    x = 286,914.18

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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.