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Finding the Fourth Proportional to 313,655.30, 432,830.21 and 177,686.47

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Solution

The fourth proportional to 313,655.30, 432,830.21 and 177,686.47 is: 245,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,655.30 : 432,830.21 = 177,686.47 : x
  2. Step 2: Convert to fraction form
    313,655.30/432,830.21 = 177,686.47/x
  3. Step 3: Cross multiply
    313,655.30x = 432,830.21 × 177,686.47
  4. Step 4: Simplify right side
    313,655.30x = 76,908,072,124.26
  5. Step 5: Solve for x
    x = 76,908,072,124.26/313,655.30
  6. Step 6: Final answer
    x = 245,199.34

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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.