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Finding the Fourth Proportional to 410,931.71, 567,108.16 and 229,643.99

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Solution

The fourth proportional to 410,931.71, 567,108.16 and 229,643.99 is: 316,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,931.71 : 567,108.16 = 229,643.99 : x
  2. Step 2: Convert to fraction form
    410,931.71/567,108.16 = 229,643.99/x
  3. Step 3: Cross multiply
    410,931.71x = 567,108.16 × 229,643.99
  4. Step 4: Simplify right side
    410,931.71x = 130,232,977,214.31
  5. Step 5: Solve for x
    x = 130,232,977,214.31/410,931.71
  6. Step 6: Final answer
    x = 316,921.22

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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.