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Finding the Fourth Proportional to 375,483.34, 563,298.54 and 165,120.58

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Solution

The fourth proportional to 375,483.34, 563,298.54 and 165,120.58 is: 247,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,483.34 : 563,298.54 = 165,120.58 : x
  2. Step 2: Convert to fraction form
    375,483.34/563,298.54 = 165,120.58/x
  3. Step 3: Cross multiply
    375,483.34x = 563,298.54 × 165,120.58
  4. Step 4: Simplify right side
    375,483.34x = 93,012,181,637.95
  5. Step 5: Solve for x
    x = 93,012,181,637.95/375,483.34
  6. Step 6: Final answer
    x = 247,713.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.