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Finding the Fourth Proportional to 410,803.99, 566,905.66 and 229,547.14

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Solution

The fourth proportional to 410,803.99, 566,905.66 and 229,547.14 is: 316,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,803.99 : 566,905.66 = 229,547.14 : x
  2. Step 2: Convert to fraction form
    410,803.99/566,905.66 = 229,547.14/x
  3. Step 3: Cross multiply
    410,803.99x = 566,905.66 × 229,547.14
  4. Step 4: Simplify right side
    410,803.99x = 130,131,570,911.68
  5. Step 5: Solve for x
    x = 130,131,570,911.68/410,803.99
  6. Step 6: Final answer
    x = 316,772.90

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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.