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Finding the Fourth Proportional to 375,638.04, 563,457.06 and 227,583

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Solution

The fourth proportional to 375,638.04, 563,457.06 and 227,583 is: 341,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,638.04 : 563,457.06 = 227,583 : x
  2. Step 2: Convert to fraction form
    375,638.04/563,457.06 = 227,583/x
  3. Step 3: Cross multiply
    375,638.04x = 563,457.06 × 227,583
  4. Step 4: Simplify right side
    375,638.04x = 128,233,248,085.98
  5. Step 5: Solve for x
    x = 128,233,248,085.98/375,638.04
  6. Step 6: Final answer
    x = 341,374.50

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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.