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Finding the Fourth Proportional to 313,154.06, 432,264.70 and 185,829.66

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Solution

The fourth proportional to 313,154.06, 432,264.70 and 185,829.66 is: 256,511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,154.06 : 432,264.70 = 185,829.66 : x
  2. Step 2: Convert to fraction form
    313,154.06/432,264.70 = 185,829.66/x
  3. Step 3: Cross multiply
    313,154.06x = 432,264.70 × 185,829.66
  4. Step 4: Simplify right side
    313,154.06x = 80,327,602,231.00
  5. Step 5: Solve for x
    x = 80,327,602,231.00/313,154.06
  6. Step 6: Final answer
    x = 256,511.45

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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.