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Finding the Fourth Proportional to 370,058.19, 510,684.62 and 217,099.01

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Solution

The fourth proportional to 370,058.19, 510,684.62 and 217,099.01 is: 299,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,058.19 : 510,684.62 = 217,099.01 : x
  2. Step 2: Convert to fraction form
    370,058.19/510,684.62 = 217,099.01/x
  3. Step 3: Cross multiply
    370,058.19x = 510,684.62 × 217,099.01
  4. Step 4: Simplify right side
    370,058.19x = 110,869,126,010.92
  5. Step 5: Solve for x
    x = 110,869,126,010.92/370,058.19
  6. Step 6: Final answer
    x = 299,599.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.